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 A335537 #7 Jun 24 2020 16:00:31 %S A335537 1,2,6,23,88,332,1294,5252,21872,92888,402784,1782288,8028904, %T A335537 36768656,171054160,807703688,3867540736,18765870208,92212515136, %U A335537 458609391488,2307237770496,11736266317952,60334416641536,313342967240960,1643352523119232,8700550165605632 %N A335537 a(n) = n! [x^n] exp(2*x)*(y*sinh(x*y) + cosh(x*y)) and y = sqrt(x). %F A335537 a(n) ~ 3^(2*n/3 - 5/6) * exp(32/81 - 8*(2*n/3)^(1/3)/9 + 2*(2*n/3)^(2/3) - n/3) * n^((n+1)/3) / (2^(2*n/3 + 1/6)). - _Vaclav Kotesovec_, Jun 24 2020 %p A335537 aList := proc(len) local H; H := (x, y) -> exp(2*x)*(y*sinh(x*y) + cosh(x*y)): %p A335537 series(H(x, sqrt(x)), x, len+1): seq(k!*coeff(%, x, k), k=0..len-1) end: %p A335537 aList(30); %Y A335537 Cf. A335312. %K A335537 nonn %O A335537 0,2 %A A335537 _Peter Luschny_, Jun 24 2020