A012899 E.g.f.: exp(arcsin(x)+log(x+1)).

1, 2, 3, 5, 13, 45, 205, 1115, 7305, 54305, 464425, 4380675, 46230925, 528514025, 6635260125, 89124741875, 1297262292625, 20019445694625, 331450831284625, 5777919619047875, 107221860383503125, 2083573516715965625

Offset

0,2

Links

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

Formula

Recurrence: 3*a(n) = a(n-1) + (3*n^2-15*n+22)*a(n-2) + 2*(n^2-8*n+17)*a(n-3). - Vaclav Kotesovec, Oct 07 2012

Example

exp(arcsin(x)+log(x+1))=1+2*x+3/2!*x^2+5/3!*x^3+13/4!*x^4+45/5!*x^5...

Mathematica

Table[n!*SeriesCoefficient[E^(ArcSin[x]+Log[x+1]), {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 07 2012 *)

Prog

(PARI) x='x+O('x^66); Vec(serlaplace(exp(asin(x)+log(x+1)))) \\ Joerg Arndt, May 04 2013

Crossrefs

Sequence in context: A042445 A332060 A048634 * A215102 A110364 A111288

Adjacent sequences: A012896 A012897 A012898 * A012900 A012901 A012902

Keyword

nonn

Author

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

Status

approved