A013376 exp(sin(x)-arcsinh(x)) = 1-8/5!*x^5+224/7!*x^7-11024/9!*x^9+8064/10!*x^10...

1, 0, 0, 0, 0, -8, 0, 224, 0, -11024, 8064, 893024, -1419264, -108056024, 262662400, 18196891712, -59455492096, -4073700728096, 16726941245440, 1171230240813632, -5792855942807552, -420783754605743528

Offset

0,6

Links

Alois P. Heinz, Table of n, a(n) for n = 0..200

Formula

E.g.f.: exp(sin(x))/(x+sqrt(1+x^2)). - Vaclav Kotesovec, Nov 01 2013

a(n) ~ -2*cos(Pi*n/2-sinh(1)) * n^(n-1) / exp(n). - Vaclav Kotesovec, Nov 01 2013

Mathematica

CoefficientList[Series[Exp[Sin[x]-ArcSinh[x]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 01 2013 *)

Crossrefs

Sequence in context: A277257 A121770 A221379 * A221421 A371990 A013456

Adjacent sequences: A013373 A013374 A013375 * A013377 A013378 A013379

Keyword

sign

Author

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

Status

approved