A013376 - OEIS

%I #10 Nov 01 2013 15:28:47

%S 1,0,0,0,0,-8,0,224,0,-11024,8064,893024,-1419264,-108056024,

%T 262662400,18196891712,-59455492096,-4073700728096,16726941245440,

%U 1171230240813632,-5792855942807552,-420783754605743528

%N exp(sin(x)-arcsinh(x)) = 1-8/5!*x^5+224/7!*x^7-11024/9!*x^9+8064/10!*x^10...

%H Alois P. Heinz, <a href="/A013376/b013376.txt">Table of n, a(n) for n = 0..200</a>

%F E.g.f.: exp(sin(x))/(x+sqrt(1+x^2)). - _Vaclav Kotesovec_, Nov 01 2013

%F a(n) ~ -2*cos(Pi*n/2-sinh(1)) * n^(n-1) / exp(n). - _Vaclav Kotesovec_, Nov 01 2013

%t CoefficientList[Series[Exp[Sin[x]-ArcSinh[x]], {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Nov 01 2013 *)

%K sign

%O 0,6

%A Patrick Demichel (patrick.demichel(AT)hp.com)