A013215 Expansion of e.g.f. sinh(log(x+1) - sin(x)).

0, 0, -1, 3, -6, 23, -135, 1036, -8820, 79253, -783405, 8594146, -103172454, 1341998591, -18791767995, 281865510928, -4509653027880, 76663767284201, -1379952916274457, 26219142105604030, -524382882377053690

Offset

0,4

Links

Table of n, a(n) for n=0..20.

Example

-1/2!*x^2 + 3/3!*x^3 - 6/4!*x^4 + 23/5!*x^5 ...

Mathematica

With[{nn=20}, Drop[CoefficientList[Series[Sinh[Log[x+1]-Sin[x]], {x, 0, nn}], x]Range[0, nn]!, 2]] (* Harvey P. Dale, Oct 17 2011 *)

Crossrefs

Sequence in context: A013216 A013210 A264792 * A013211 A013212 A013218

Adjacent sequences: A013212 A013213 A013214 * A013216 A013217 A013218

Keyword

sign

Author

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

Extensions

a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 01 2018

Status

approved