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 A380426 #14 Jan 24 2025 12:00:01 %S A380426 1,3,21,225,3309,62223,1430235,38940681,1227116409,43970226651, %T A380426 1766653847079,78696970239165,3850658628709941,205350233796536871, %U A380426 11856632842453069491,736988120901130761297,49073265311942508067185,3485242354486865203370931,263004127262410708414755135 %N A380426 E.g.f. A(x) satisfies A(x) = exp( 3 * x * A(x)^(1/3) * exp(x * A(x)^(1/3)) ). %H A380426 Seiichi Manyama, <a href="/A380426/b380426.txt">Table of n, a(n) for n = 0..360</a> %F A380426 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A162695. %F A380426 a(n) = 3 * Sum_{k=0..n} k^(n-k) * (n+3)^(k-1) * binomial(n,k). %o A380426 (PARI) a(n) = 3*sum(k=0, n, k^(n-k)*(n+3)^(k-1)*binomial(n, k)); %Y A380426 Cf. A162695, A380425, A380427. %Y A380426 Cf. A380407. %K A380426 nonn %O A380426 0,2 %A A380426 _Seiichi Manyama_, Jan 24 2025