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 A371522 #11 Mar 26 2024 11:15:11 %S A371522 1,3,24,235,2586,30603,380359,4896753,64731747,873539236,11984536632, %T A371522 166661420814,2343950447112,33282048811530,476462982915993, %U A371522 6869620848003570,99663539644072305,1453861111238442363,21312207036239313936,313783619269186619589 %N A371522 G.f. A(x) satisfies A(x) = (1 + x*A(x)^2 / (1-x))^3. %F A371522 a(n) = 3 * Sum_{k=0..n} binomial(n-1,n-k) * binomial(6*k+2,k)/(5*k+3). %F A371522 G.f.: A(x) = B(x)^3 where B(x) is the g.f. of A349333. %o A371522 (PARI) a(n) = 3*sum(k=0, n, binomial(n-1, n-k)*binomial(6*k+2, k)/(5*k+3)); %Y A371522 Cf. A349333, A371379, A371519, A371521, A371523. %K A371522 nonn %O A371522 0,2 %A A371522 _Seiichi Manyama_, Mar 26 2024