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 A371725 #10 Apr 04 2024 15:40:21 %S A371725 1,5,25,145,925,6266,44245,322075,2399725,18211775,140285018, %T A371725 1093997085,8620125925,68523526635,548867710575,4425604018075, %U A371725 35892727867805,292604563615625,2396375011877275,19707111724556025,162671328783723678,1347313142469049275 %N A371725 G.f. satisfies A(x) = ( 1 + x * A(x)^(1/5) * (1 + A(x)) )^(5/2). %F A371725 G.f.: B(x)^5 where B(x) is the g.f. of A370472. %F A371725 a(n) = Sum_{k=0..n} binomial(n,k) * binomial(n/2+5*k/2+5/2,n)/(n/5+k+1). %o A371725 (PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(n/2+5*k/2+5/2, n)/(n/5+k+1)); %Y A371725 Cf. A370471, A370472, A371723. %Y A371725 Cf. A371724. %K A371725 nonn %O A371725 0,2 %A A371725 _Seiichi Manyama_, Apr 04 2024