A012480 Expansion of e.g.f.: exp(cos(x)*arcsin(x))=1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4-15/5!*x^5...

1, 1, 1, -1, -7, -15, 25, 359, 1297, 3713, 785, 347151, 3237577, 62839153, 476552297, 10196506423, 93536269473, 2397571040897, 25410713978785, 714196911010335, 8498142387238425, 263318643848985457

Offset

0,5

Links

Table of n, a(n) for n=0..21.

Mathematica

With[{nn=30}, CoefficientList[Series[Exp[Cos[x]ArcSin[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 21 2024 *)

Crossrefs

Sequence in context: A299569 A260558 A154935 * A226470 A063611 A292379

Adjacent sequences: A012477 A012478 A012479 * A012481 A012482 A012483

Keyword

sign

Author

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

Extensions

Definition clarified by Harvey P. Dale, Jul 21 2024

Status

approved