# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a013190 Showing 1-1 of 1 %I A013190 #8 Nov 01 2013 18:48:29 %S A013190 0,1,0,-2,8,-12,-48,432,-2112,10000,14080,-1500512,17517568,-18269760, %T A013190 -1666201600,16350361856,-45064462336,922523568384,-4131436888064, %U A013190 -990634832194048,21402743134224384,92553699220882432 %N A013190 log(cosh(x)+arcsinh(x))=x-2/3!*x^3+8/4!*x^4-12/5!*x^5-48/6!*x^6... %F A013190 a(n) ~ 2*n^(n-1) * exp(-n) * (2*Pi*cos(n*Pi/2) + 4*cos(1)*sin(n*Pi/2)) / (2+Pi^2+2*cos(2)). - _Vaclav Kotesovec_, Nov 01 2013 %t A013190 CoefficientList[Series[Log[Cosh[x]+ArcSinh[x]], {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Nov 01 2013 *) %K A013190 sign %O A013190 0,4 %A A013190 Patrick Demichel (patrick.demichel(AT)hp.com) %E A013190 Prepended missing a(0)=0 from _Vaclav Kotesovec_, Nov 01 2013 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE