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 A368933 #10 Jan 10 2024 07:59:01 %S A368933 1,2,7,30,143,729,3891,21471,121505,701316,4112751,24435424,146773582, %T A368933 889813460,5437598036,33459382065,207138653334,1289231982454, %U A368933 8062548100445,50637167131635,319255808742145,2019867936975125,12819928874057325,81603361510347675 %N A368933 Expansion of (1/x) * Series_Reversion( x * (1-x) * (1-x-x^5) ). %F A368933 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/5)} binomial(n+k,k) * binomial(3*n-4*k+1,n-5*k). %o A368933 (PARI) a(n) = sum(k=0, n\5, binomial(n+k, k)*binomial(3*n-4*k+1, n-5*k))/(n+1); %o A368933 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x*(1-x)*(1-x-x^5))/x) %Y A368933 Cf. A236339, A368931, A368932. %Y A368933 Cf. A276989, A366112. %K A368933 nonn %O A368933 0,2 %A A368933 _Seiichi Manyama_, Jan 10 2024