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 A368011 #28 Jan 14 2024 08:56:49 %S A368011 1,5,40,385,4095,46377,548380,6691620,83637450,1065311665,13777916774, %T A368011 180451354720,2388503030675,31900445734050,429369814375480, %U A368011 5818270533841408,79309912829992350,1086768622818959100,14961519902879613700,206839961042385226110 %N A368011 Expansion of (1/x) * Series_Reversion( x * ((1-x)^5-x^5) ). %H A368011 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A368011 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/5)} binomial(n+k,k) * binomial(6*n+4,n-5*k). %o A368011 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x*((1-x)^5-x^5))/x) %o A368011 (PARI) a(n) = sum(k=0, n\5, binomial(n+k, k)*binomial(6*n+4, n-5*k))/(n+1); %Y A368011 Cf. A369102, A369114. %Y A368011 Cf. A369125. %K A368011 nonn %O A368011 0,2 %A A368011 _Seiichi Manyama_, Jan 13 2024