|
%I #7 Jun 09 2019 04:53:12
%S 0,1,4,28,272,3384,51300,917064,18884672,440168832,11454902500,
%T 329208395264,10355322975120,353851897861760,13052503620917124,
%U 516917167506777600,21875427250996723968,985164766018898243584,47043119138733155306052,2374168079889664129576960
%N a(n) = n! * [x^n] exp(n*x)*arcsin(x).
%H Vaclav Kotesovec, <a href="/A302605/b302605.txt">Table of n, a(n) for n = 0..384</a>
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%t Table[n! SeriesCoefficient[Exp[n x] ArcSin[x], {x, 0, n}], {n, 0, 19}]
%Y Cf. A001818, A115416, A291482, A293191, A302583, A302584, A302585, A302586, A302587, A302606, A302608, A302609.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Apr 10 2018
|
