A problem in partitions related to the Stirling numbers
A problem in partitions related to the Stirling numbers
An(x) = ]£ S(n, r)x\ In a recent paper [l] the writer has determined the factorization (mod 2) of the polynomial A n (x).Put c nr = 5(w+ 1, r+ 1); then we have c nt2r £B ( J (mod 2) (0 g 2r < n), /n -r -1\ Cn,2r+i …