A013377 sin(sin(x)-arcsinh(x)) = -8/5!*x^5+224/7!*x^7-11024/9!*x^9...

0, 0, -8, 224, -11024, 893024, -108056024, 18326044736, -4143959973152, 1203673701847616, -436556568694967720, 193325069835999174688, -102646741662885247765552, 64363759451798102692787104

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..100

Formula

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

Mathematica

Table[n!*SeriesCoefficient[Sin[Sin[x]-ArcSinh[x]], {x, 0, n}], {n, 1, 41, 2}] (* Vaclav Kotesovec, Nov 01 2013 *)

Crossrefs

Sequence in context: A267235 A230144 A378804 * A214383 A220546 A189445

Adjacent sequences: A013374 A013375 A013376 * A013378 A013379 A013380

Keyword

sign

Author

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

Extensions

Prepended missing a(0)=0, a(1)=0 from Vaclav Kotesovec, Nov 01 2013

Status

approved