A012410 Expansion of e.g.f. arcsin(arctan(x) * exp(x)).

0, 1, 2, 2, 8, 88, 560, 3880, 48064, 645376, 8447488, 129332480, 2305269760, 43823270528, 893173681920, 19883237893376, 476731844235264, 12171513901662208, 330755844515020800, 9543303550734733312, 291053885585803034624, 9354941906907855192064

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Maple

x + 2/2!*x^2 + 2/3!*x^3 + 8/4!*x^4 + 88/5!*x^5 ...

Mathematica

Range[0, 20]! CoefficientList[Series[ArcSin[ArcTan[x] Exp[x]], {x, 0, 20}], x] (* Vincenzo Librandi, Jul 19 2018 *)

Prog

(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(asin(atan(x) * exp(x))))) \\ Michel Marcus, Jul 19 2018

Crossrefs

Sequence in context: A012413 A012659 A009448 * A295382 A123642 A007848

Adjacent sequences: A012407 A012408 A012409 * A012411 A012412 A012413

Keyword

nonn

Author

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

Extensions

a(0) inserted and title improved by Sean A. Irvine, Jul 18 2018

Status

approved