|
%I #10 Jun 09 2019 04:24:24
%S 0,1,4,26,240,2884,42660,748544,15185856,349574544,9000902500,
%T 256293989984,7996078704240,271246034903232,9939835626507332,
%U 391303051339622400,16469438021801262848,737992773619777599744,35077254665501330210628,1762671472887447792620032
%N a(n) = n! * [x^n] exp(n*x)*arcsinh(x).
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F a(n) ~ arcsinh(1) * n^n = log(1 + sqrt(2)) * n^n. - _Vaclav Kotesovec_, Jun 09 2019
%t Table[n! SeriesCoefficient[Exp[n x] ArcSinh[x], {x, 0, n}], {n, 0, 19}]
%Y Cf. A001818, A002866, A291483, A302583, A302584, A302585, A302586, A302587, A302605, A302608, A302609.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Apr 10 2018
|
