This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A181161 #15 Jan 21 2025 09:24:25
%S A181161 1,1,9,51,1275,8415,115005,805035,45886995,331406075,4838528695,
%T A181161 35629165845,1056998586735,7886835608715,118302534130725,
%U A181161 891212423784795,107836703277960195,818290277815109715
%N A181161 Numerator in abs(binomial(-1/8,n)).
%H A181161 Michael De Vlieger, <a href="/A181161/b181161.txt">Table of n, a(n) for n = 0..834</a>
%H A181161 Paveł Szabłowski, <a href="https://cdm.ucalgary.ca/article/view/76214">Beta distributions whose moment sequences are related to integer sequences listed in the OEIS</a>, Contrib. Disc. Math. (2024) Vol. 19, No. 4, 85-109. See p. 93.
%F A181161 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)
%t A181161 w[n_] := Numerator[Binomial[-1/8, n] (-1)^n];
%t A181161 Table[w[n], {n, 0, 12}]
%Y A181161 A004130
%K A181161 nonn
%O A181161 0,3
%A A181161 _Emanuele Munarini_, Jan 25 2011