A012573 Expansion of e.g.f. sin(arcsinh(x) * log(x+1)).

0, 0, 2, -3, 4, -20, 38, 441, -4776, 34056, -368838, 5189085, -61808100, 666424980, -8929309170, 147346759665, -2283822093840, 33140217608400, -562702300383630, 11332944235915965, -219113911766658060

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..96

Example

2/2!*x^2 - 3/3!*x^3 + 4/4!*x^4 - 20/5!*x^5 ...

Mathematica

With[{nn=20}, CoefficientList[Series[Sin[ArcSinh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 13 2016 *)

Crossrefs

Sequence in context: A352581 A309789 A012578 * A268349 A333690 A107241

Adjacent sequences: A012570 A012571 A012572 * A012574 A012575 A012576

Keyword

sign

Author

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

Extensions

Prepended missing a(0)=0 from Vaclav Kotesovec, Feb 03 2015

Inserted missing a(1)=0 and improved title from Sean A. Irvine, Jul 19 2018

Status

approved