A012346 E.g.f.: arcsinh(arcsin(x)^2) (even powers only).

0, 2, 8, 8, -2112, 42912, 30652800, 4329375360, 111548774400, -87989094796800, 7067984075827200, 26753302456361994240, 13666529274765422837760, 1617292455279293013073920, -1901977500391306259142574080

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Example

arcsinh(arcsin(x)^2) = 0 + 2/2!*x^2 + 8/4!*x^4 + 8/6!*x^6 - 2112/8!*x^8+-...

Mathematica

With[{nn=30}, Take[CoefficientList[Series[ArcSinh[ArcSin[x]^2], {x, 0, nn}], x] Range[0, nn]!, {1, -1, 2}]]  (* Harvey P. Dale, Apr 21 2014 *)

Crossrefs

Sequence in context: A202379 A009181 A009666 * A012649 A009627 A009677

Adjacent sequences: A012343 A012344 A012345 * A012347 A012348 A012349

Keyword

sign

Author

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

Status

approved