Verner E. Hoggatt

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All published works

Action	Title	Year	Authors
+	Fibonacci and Lucas Numbers	2020	Verner E. Hoggatt
+	Generalized Fibonacci Numbers	1980	Anne Silva Verner E. Hoggatt
+	The Fibonacci Association Proudly Announces the Publication of a Collection of Manuscripts Related to the Fibonacci Sequence 18th Anniversary Volume	1980	Verner E. Hoggatt Marjorie Bicknell-Johnson
+	Another Proof that <i>ϕ</i> ( <i> F <sub>n</sub> </i> ) ≡ 0 MOD 4 for all <i>n</i> > 4	1980	Verner E. Hoggatt Hugh M. Edgar
+	Roots of ( <i>H - L</i> ) / 15 Recurrence Equations in Generalized Pascal Triangles	1980	C. D. Smith Verner E. Hoggatt
+	A collection of manuscripts related to the Fibonacci sequence : 18th anniversary volume	1980	Verner E. Hoggatt Majorie Bicknell
+	A Study of the Maximal Values in Pascal’s Quadrinomial Triangle	1979	Claudia Smith Verner E. Hoggatt
+	Infinite Series with Fibonacci and Lucas Polynomials	1979	Gerald E. Bergum Verner E. Hoggatt
+	Generating Functions of Central Values in Generalized Pascal Triangles	1979	Claudia Smith Verner E. Hoggatt
+	A Note on the Summation of Squares	1977	Verner E. Hoggatt
+	Limits of Quotients for the Convolved Fibonacci Sequence and Related Sequences	1977	Gerald E. Bergum Verner E. Hoggatt
+	Generalized Lucas Sequences	1977	Verner E. Hoggatt Marjorie Bicknell-Johnson
+	Divisibility Properties of Generalized Fibonacci Polynomials	1974	Verner E. Hoggatt Calvin T. Long
+	Irreducibility of Lucas and Generalized Lucas Polynomials	1974	Gerald E. Bergum Verner E. Hoggatt
+	Sets of Binomial Coefficients with Equal Products	1974	Calvin T. Long Verner E. Hoggatt
+	Generalized Fibonacci Polynomials and Zeckendorf's Theorem	1973	Verner E. Hoggatt Marjorie Bicknell
+	A Primer for the Fibonacci Numbers: Part XII	1973	Verner E. Hoggatt Nanette Cox Marjorie Bicknell
+	A Primer for the Fibonacci Numbers Part XI: Multisection Generating Functions for the Columns of Pascal's Triangle	1973	Verner E. Hoggatt Janet Crump Anaya
+	A primer for the Fibonacci numbers	1973	Majorie Bicknell Verner E. Hoggatt
+	Convolution Triangles	1972	Verner E. Hoggatt Marjorie Bicknell
+	Special Cases of Fibonacci Periodicity	1972	Judy Kramer Verner E. Hoggatt
+	Addendum to the Paper “Fibonacci Representations”	1972	L. Carlitz Richard Scoville Verner E. Hoggatt
+	A Primer for the Fibonacci Numbers: Part IX	1971	Marjorie Bicknell Verner E. Hoggatt
+	Some Special Fibonacci and Lucas Generating Functions	1971	Verner E. Hoggatt
+	Combinatorial Problems for Generalized Fibonacci Numbers	1970	Verner E. Hoggatt
+	An Application of the Lucas Triangle	1970	Verner E. Hoggatt
+	Convolution Triangles for Generalized Fibonacci Numbers	1970	Verner E. Hoggatt
+	An Extension of the Fibonacci Numbers (Part II)	1970	J Arkin Verner E. Hoggatt
+	Golden Triangles, Rectangles, and Cuboids	1969	Marjorie Bicknell Verner E. Hoggatt
+	Dissection of a Square into n Acute Isosceles Triangles	1968	Verner E. Hoggatt Free Jamison
+	Fourth Power Fibonacci Identities from Pascal’s Triangle	1964	Verner E. Hoggatt Marjorie Bicknell
+	Fibonacci Numbers from a Differential Equation	1964	Verner E. Hoggatt
+	A Primer on the Fibonacci Sequence, Part V	1964	Verner E. Hoggatt I. D. Bruggles
+	Some New Fibonacci Identities	1964	Verner E. Hoggatt Marjorie Bicknell
+	A Primer on the Fibonacci Sequence, Part III	1963	I. D. Ruggles Verner E. Hoggatt
+	An Investigation of Nine-Digit Determinants	1963	Marjorie Bicknell Verner E. Hoggatt
+	An Investigation of Nine-Digit Determinants	1963	Marjorie Bicknell Verner E. Hoggatt
+	A Primer on the Fibonacci Sequence, Part II	1963	S. L. Basin Verner E. Hoggatt
+	A Primer on the Fibonacci Sequence, Part I	1963	S. L. Basin Verner E. Hoggatt
+	Acute Isosceles Dissection of an Obtuse Triangle	1961	Verner E. Hoggatt Russ Denman

Common Coauthors

Coauthor	Papers Together
Marjorie Bicknell	9
Gerald E. Bergum	3
Majorie Bicknell	2
Calvin T. Long	2
Marjorie Bicknell-Johnson	2
Free Jamison	1
S. L. Basin	1
Russ Denman	1
I. D. Bruggles	1
I. D. Ruggles	1
Judy Kramer	1
Anne Silva	1
Janet Crump Anaya	1
C. D. Smith	1
Claudia Smith	1
Claudia Smith	1
J Arkin	1
Nanette Cox	1
S. L. Basin	1
Richard Scoville	1
Hugh M. Edgar	1
L. Carlitz	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A New Angle on Pascal’s Triangle	1968	V. E. Hoggatt	4
+	A Primer for the Fibonacci Numbers, Part XVI the Central Column Sequence	1978	John L. Brown V. E. Hoggatt	3
+	Fibonacci and Lucas Numbers	1997	Peter Hilton Derek Holton Jean Pedersen	3
+	A Generalization of Fibonacci Numbers	1964	V. C. Harris Carolyn C. Styles	2
+	On Convoluted Numbers and Sums	1967	David Zeitlin	2
+	Divisibility Properties of Fibonaccci Polynomials	1969	William A. Webb E. A. Parberry	2
+	Diagonal Sums of Generalized Pascal Triangles	1969	V. E. Hoggatt Marjorie Bicknell	2
+	Partitions of N into Distinct Fibonacci Numbers	1968	David A. Klarner	2
+	Some New Fibonacci Identities	1964	Verner E. Hoggatt Marjorie Bicknell	2
+	Generating Functions of Central Values in Generalized Pascal Triangles	1979	Claudia Smith Verner E. Hoggatt	2
+	Convolution Triangles for Generalized Fibonacci Numbers	1970	Verner E. Hoggatt	2
+	A Lucas Triangle	1967	Mark Feinberg	1
+	Some Orthogonal Polynomials Related to Fibonacci Numbers	1966	L. Carlitz	1
+	Representation of Natural Numbers as sums of Generalized Fibonacci Numbers-II	1969	D. E. Daykin	1
+	A Study of the Maximal Values in Pascal’s Quadrinomial Triangle	1979	Claudia Smith Verner E. Hoggatt	1
+	Unique Representations of Integers as sums of Distinct Lucas Numbers	1969	Jerram L. Brown	1
+	A Primer for the Fibonacci Numbers: Part VIII	1971	Marjorie Bicknell	1
+	Convergence of the Coefficients in a Recurring Power Series	1969	J Arkin	1
+	A Primer for the Fibonacci Numbers: Part VII	1970	Marjorie Bicknell	1
+	On the Representation of Integers as Sums of Distinct Fibonacci Numbers	1965	H. H. Ferns	1
+	A New Characterization of the Fibonacci Numbers	1965	Jerram L. Brown	1
+	Fibonacci Summations	1963	Ken Siler	1
+	A Note on Fibonacci Numbers	1964	L. Carlitz	1
+	Binomial Sums of Fibonacci Powers	1966	John Wessner	1
+	On the Periodicity of the Last Digits of the Fibonacci Numbers	1963	Dov Jarden	1
+	On the Ordering of the Fibonacci Sequence	1963	Brother U. Alfred	1
+	A Primer for the Fibonacci Numbers: Part VI	1967	V. E. Hoggatt Douglas Lind	1
+	A Reciprocal Series of Fibonacci Numbers	1974	I. J. Good	1
+	More Hidden Hexagon Squares	1973	Carl F. Moore	1
+	Divisibility Properties of Generalized Fibonacci Polynomials	1974	Verner E. Hoggatt Calvin T. Long	1
+	A Proof of Gould’s Pascal Hexagon Conjecture	1972	A. P. Hillman V. E. Hoggatt	1
+	New Mathematical Diversions from "Scientific American"	1975	Martin Gardner	1
+	Diagonal Sums of the Trinomial Triangle	1974	V. E. Hoggatt Marjorie Bicknell	1
+	Representations of Integers as Sums of Fibonacci Squares	1972	Roger O’Connell	1
+	Generalized Fibonacci Polynomials	1973	V. E. Hoggatt Marjorie Bicknell	1
+	Convolution Triangles	1972	Verner E. Hoggatt Marjorie Bicknell	1
+	A primer for the Fibonacci numbers	1973	Majorie Bicknell Verner E. Hoggatt	1
+	Fibonacci Numbers and Geometry	1972	Alfred Brousseau	1
+	Generalized Fibonacci Numbers and Associated Matrices	1960	E. P. Miles	1
+	Fibonacci Series Modulo <i>m</i>	1960	D. D. Wall	1
+	Note on Complete Sequences of Integers	1961	Jerram L. Brown	1
+	Collegiate Articles: Graduate Training Not Required for Reading: A Type of Periodicity for Fibonacci Numbers	1955	Vern Hoggatt	1
+	Restricted Occupancy Theory—A Generalization of Pascal's Triangle	1956	John E. Freund	1
+	An Extension of the Fibonacci Numbers	1965	J Arkin	1
+	Some Properties of the Fibonacci Numbers	1960	George Shapiro	1
+	Introduction to Combinatorial Analysis.	1959	David Barton John Riordan	1
+	Generating Functions for Products of Powers of Fibonacci Numbers	1963	H. W. Gould	1
+	A Computer Investigation of a Property of the Fibonacci Sequence	1963	Stephen P. Geller	1