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 A365754 #15 Feb 17 2024 02:39:51 %S A365754 1,5,36,305,2833,27916,286632,3033513,32858595,362515725,4059475368, %T A365754 46021411644,527163783916,6092053249160,70939443268112, %U A365754 831558454663449,9804617762941095,116201796106426543,1383557994261012100,16541672701743657545,198510770031798279825 %N A365754 Expansion of (1/x) * Series_Reversion( x*(1-x)/(1+x)^4 ). %F A365754 a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(n+k,k) * binomial(4*(n+1),n-k). %F A365754 a(n) = (1/(n+1)) * [x^n] ( (1+x)^4 / (1-x) )^(n+1). - _Seiichi Manyama_, Feb 17 2024 %o A365754 (PARI) a(n) = sum(k=0, n, binomial(n+k, k)*binomial(4*(n+1), n-k))/(n+1); %Y A365754 Cf. A000108, A006318, A107111, A263843, A365755. %Y A365754 Cf. A365752. %K A365754 nonn %O A365754 0,2 %A A365754 _Seiichi Manyama_, Sep 18 2023