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 A371519 #14 Mar 26 2024 11:14:57
%S A371519 1,5,45,470,5375,65231,825225,10764185,143739440,1955340360,
%T A371519 27001732972,377530388235,5333865386885,76031188364860,
%U A371519 1092117166466660,15792298241897649,229704197116753825,3358528175751886765,49333470827844265285,727680248026484478405
%N A371519 G.f. A(x) satisfies A(x) = 1 / (1 - x*A(x) / (1-x))^5.
%F A371519 a(n) = Sum_{k=0..n} binomial(n-1,n-k) * binomial(6*k+4,k)/(k+1).
%F A371519 G.f.: A(x) = B(x/(1-x)), where B(x) = (1/x) * Series_Reversion( x*(1-x)^5 ).
%F A371519 G.f.: A(x) = B(x)^5 where B(x) is the g.f. of A349333.
%o A371519 (PARI) a(n) = sum(k=0, n, binomial(n-1, n-k)*binomial(6*k+4, k)/(k+1));
%Y A371519 Cf. A349333, A371379, A371521, A371522, A371523.
%Y A371519 Cf. A270386, A371483, A371486.
%Y A371519 Cf. A130564.
%K A371519 nonn
%O A371519 0,2
%A A371519 _Seiichi Manyama_, Mar 26 2024