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 A003235 M4280 #33 Jul 09 2021 17:34:18 %S A003235 1,1,6,72,1322,32550,1003632,37162384,1605962556,79330914540, %T A003235 4409098539560,272297452742304,18499002436677336,1371050716542451672, %U A003235 110085169034456183232,9519063815009322326400,881914870734754844035088,87154631117420724492647184 %N A003235 a(n) = Sum_{k=0..n} (-1)^(n-k) C(n,k)*C(k^2,n). %D A003235 H. W. Gould, personal communication. %D A003235 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A003235 Alois P. Heinz, <a href="/A003235/b003235.txt">Table of n, a(n) for n = 0..300</a> %H A003235 Henry W. Gould, <a href="/A003099/a003099.pdf">Letters to N. J. A. Sloane, Oct 1973 and Jan 1974</a>. %F A003235 a(n) ~ c * d^n * (n-1)!, where d = 4 / (w*(2-w)) = 6.17655460948348035823168... and c = exp(1/2 - w^2/8) / (2*Pi*sqrt(2*(1-w)/w)) = 0.150381859108542022051646532351211728293419626579836320368956458003898775818..., where w = -LambertW(-2*exp(-2)) = -A226775. - _Vaclav Kotesovec_, Dec 13 2020, updated Jul 09 2021 %F A003235 A003236(n) / a(n) ~ -2 / LambertW(-2*exp(-2)) = 4.92155363456750509... - _Vaclav Kotesovec_, Jul 09 2021 %t A003235 Table[Sum[(-1)^(n-k) * Binomial[n,k] * Binomial[k^2, n], {k,0,n}], {n,0,20}] (* _Vaclav Kotesovec_, Dec 13 2020 *) %Y A003235 Cf. A346184. %K A003235 nonn %O A003235 0,3 %A A003235 _N. J. A. Sloane_ %E A003235 More terms from _Sean A. Irvine_, Mar 19 2015