A181161 Numerator in abs(binomial(-1/8,n)).

1, 1, 9, 51, 1275, 8415, 115005, 805035, 45886995, 331406075, 4838528695, 35629165845, 1056998586735, 7886835608715, 118302534130725, 891212423784795, 107836703277960195, 818290277815109715

Offset: 0

Author

Emanuele Munarini, Jan 25 2011

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 0..834
• Paveł Szabłowski, Beta distributions whose moment sequences are related to integer sequences listed in the OEIS, Contrib. Disc. Math. (2024) Vol. 19, No. 4, 85-109. See p. 93.

Crossrefs

A004130

Programs

Mathematica

w[n_] := Numerator[Binomial[-1/8, n] (-1)^n];
Table[w[n], {n, 0, 12}]

Formula

a(n) = 2^(e_2((2*n)!)-n)/n! * Product[8k+1,{k,0,n-1}] where e_2((2n)!) is the highest power of 2 that divides (2*n)! (sequence A005187)