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a(n) = (Cosh[(2n-1)ArcSinh[n]])^2.
9

%I #7 Apr 05 2016 08:42:58

%S 1,2,1445,19740250,1361599599377,298514762397852026,

%T 160545187370375075046277,179656719395983409634002348450,

%U 373368546362937441101158606899394625

%N a(n) = (Cosh[(2n-1)ArcSinh[n]])^2.

%F a(n) ~ 2^(4*n-4) * n^(4*n-2). - _Vaclav Kotesovec_, Apr 05 2016

%t Table[Round[Cosh[(2 n - 1) ArcSinh[n]]^2], {n, 0, 10}] (* _Artur Jasinski_ *)

%Y Cf. A058331, A001079, A037270, A071253, A108741, A132592, A146311, A146312, A146313, A173115, A173116, A173121, A173127, A173128, A173129, A173130.

%K nonn

%O 0,2

%A _Artur Jasinski_, Feb 10 2010