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 A009416 #24 Apr 10 2022 13:28:23
%S A009416 0,1,-1,5,-12,49,-225,1301,-8848,69441,-616185,6095429,-66475596,
%T A009416 792143793,-10238194057,142633278997,-2130537219840,33964965659649,
%U A009416 -575573407212753,10331348137881349,-195807849389362540,3907452790559751857,-81892400673047263761,1798373345567005989781,-41294565798306731368272,989581607891834678407745
%N A009416 Expansion of e.g.f. log(1+x)*cosh(x).
%F A009416 a(n) ~ (n-1)! * (-1)^(n+1) * cosh(1). - _Vaclav Kotesovec_, Jan 23 2015
%F A009416 a(n) = -(-1)^n * Sum_{k=0..floor((n-1)/2)} binomial(n,2*k) * (n-2*k-1)!. - _Ilya Gutkovskiy_, Apr 10 2022
%t A009416 CoefficientList[Series[Cosh[x]*Log[1 + x], {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, Jan 23 2015 *)
%Y A009416 Cf. A009410.
%K A009416 sign,easy
%O A009416 0,4
%A A009416 _R. H. Hardin_
%E A009416 Extended with signs by _Olivier Gérard_, Mar 15 1997