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 A386392 #23 Jul 20 2025 15:02:05 %S A386392 1,4,34,368,4495,59052,814506,11633440,170574723,2552698720, %T A386392 38832808586,598724403680,9335085772194,146936230074004, %U A386392 2331703871687400,37263447339612480,599206511767593099,9688121925389895636,157401957319775436400,2568427016865897264000 %N A386392 a(n) = 4 * binomial(7*n+4,n)/(7*n+4). %H A386392 Wikipedia, <a href="https://en.wikipedia.org/wiki/Fuss-Catalan_number">Fuss-Catalan number</a> %F A386392 a(n) = r * binomial(n*p+r,n)/(n*p+r), the Fuss-Catalan number with p=7 and r=4. %F A386392 a(n) = A386380(6*n+3). %F A386392 G.f. A(x) satisfies A(x) = (1 + x*A(x)^(p/r))^r, where p=7, r=4. %F A386392 G.f.: B(x)^4, where B(x) is the g.f. of A002296. %o A386392 (PARI) apr(n, p, r) = r*binomial(n*p+r, n)/(n*p+r); %o A386392 a(n) = apr(n, 7, 4); %Y A386392 Cf. A118971, A212073, A234463, A234507, A234527, A234870. %Y A386392 Cf. A002296, A386380. %K A386392 nonn %O A386392 0,2 %A A386392 _Seiichi Manyama_, Jul 20 2025