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 A371379 #30 Mar 26 2024 11:15:21 %S A371379 1,4,34,344,3859,46240,579722,7511272,99782617,1351784792,18604380884, %T A371379 259395030992,3656180724752,52011780756632,745799171500502, %U A371379 10768038899631476,156414710103922340,2284233700081510820,33517461646190624690,493917761019513208800 %N A371379 G.f. A(x) satisfies A(x) = (1 + x*A(x)^(3/2) / (1-x))^4. %F A371379 a(n) = 4 * Sum_{k=0..n} binomial(n-1,n-k) * binomial(6*k+3,k)/(5*k+4). %F A371379 G.f.: A(x) = B(x)^4 where B(x) is the g.f. of A349333. %o A371379 (PARI) a(n) = 4*sum(k=0, n, binomial(n-1, n-k)*binomial(6*k+3, k)/(5*k+4)); %Y A371379 Cf. A349333, A371519, A371521, A371522, A371523. %K A371379 nonn %O A371379 0,2 %A A371379 _Seiichi Manyama_, Mar 26 2024