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 A371540 #10 Mar 27 2024 08:53:27 %S A371540 1,5,35,310,3055,32151,353755,4019825,46808750,555621400,6698027100, %T A371540 81779512155,1009194553315,12567338972700,157725047958100, %U A371540 1992990741398625,25333585976926275,323725357496659565,4156196637610760235,53585106340408250725,693491493195479127175 %N A371540 G.f. A(x) satisfies A(x) = 1 / (1 - x*A(x) / (1+x))^5. %F A371540 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n-1,n-k) * binomial(6*k+4,k)/(k+1). %F A371540 G.f.: A(x) = B(x)^5 where B(x) is the g.f. of A349362. %o A371540 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n-1, n-k)*binomial(6*k+4, k)/(k+1)); %Y A371540 Cf. A349362, A371537, A371538, A371539, A371541. %Y A371540 Cf. A371494, A371495, A371496. %Y A371540 Cf. A371519. %K A371540 nonn %O A371540 0,2 %A A371540 _Seiichi Manyama_, Mar 26 2024