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 A364982 #13 Aug 15 2023 11:57:39 %S A364982 1,1,6,69,1204,28345,842406,30282385,1278159240,61979238513, %T A364982 3395850105610,207490382754721,13989267347891628,1031687145559176457, %U A364982 82618837044274734126,7139807492658000170865,662286433378726179463696,65635135687587192429274849 %N A364982 E.g.f. satisfies A(x) = 1 + x*A(x)^2*exp(x*A(x)^2). %F A364982 a(n) = (n!/(2*n+1)) * Sum_{k=0..n} k^(n-k) * binomial(2*n+1,k)/(n-k)!. %o A364982 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(2*n+1, k)/(n-k)!)/(2*n+1); %Y A364982 Cf. A213644, A295238. %Y A364982 Cf. A161633, A364986, A364989. %Y A364982 Cf. A001764. %K A364982 nonn %O A364982 0,3 %A A364982 _Seiichi Manyama_, Aug 15 2023