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 A365622 #21 Sep 20 2023 10:00:46
%S A365622 1,10,150,2670,52250,1086002,23533790,525825830,12026993010,
%T A365622 280220428890,6627397194022,158692955007390,3839595257256330,
%U A365622 93725694152075010,2305406918530451950,57085385625207424342,1421808255906105290210
%N A365622 Expansion of (1/x) * Series_Reversion( x*(1-x)^5/(1+x)^5 ).
%F A365622 a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(5*n+k+4,k) * binomial(5*(n+1),n-k).
%F A365622 G.f.: B^5, where B is the g.f. of A363006.
%o A365622 (PARI) a(n) = sum(k=0, n, binomial(5*n+k+4, k)*binomial(5*(n+1), n-k))/(n+1);
%Y A365622 Cf. A032349, A365843, A365847.
%Y A365622 Cf. A363006.
%K A365622 nonn
%O A365622 0,2
%A A365622 _Seiichi Manyama_, Sep 20 2023