login
Expansion of log(1+sinh(x)*cosh(x)).
1

%I #16 Jun 22 2015 22:20:29

%S 0,1,-1,6,-22,120,-856,7056,-68272,758400,-9452416,130918656,

%T -1995427072,33173038080,-597434776576,11587651270656,

%U -240801628444672,5337660866396160,-125710803524878336,3134856182239789056

%N Expansion of log(1+sinh(x)*cosh(x)).

%H Harvey P. Dale, <a href="/A009358/b009358.txt">Table of n, a(n) for n = 0..500</a>

%F a(n) ~ (n-1)! * (-1)^(n+1) * (2/log(2+sqrt(5)))^n. - _Vaclav Kotesovec_, Jan 23 2015

%t With[{nn=20},CoefficientList[Series[Log[1+Sinh[x]* Cosh[x]], {x,0,nn}],x]Range[0,nn]!] (* _Harvey P. Dale_, Sep 30 2011 *)

%K sign,easy

%O 0,4

%A _R. H. Hardin_

%E Extended with signs by _Olivier GĂ©rard_, Mar 15 1997