A002980 - OEIS

A002980

E.g.f: 1/(1 - sin(x) + sin(x)^2 - sin(x)^3).

1, 1, 0, -1, 24, 121, -480, -4201, 48384, 478801, -4968960, -62871601, 885586944, 12996863881, -203910819840, -3476839930201, 63397697224704, 1221998040867361, -24917358603141120, -537278342731116001

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,5

LINKS

Table of n, a(n) for n=0..19.

EXAMPLE

1/(1 - sin(x) + sin(x)^2 - sin(x)^3) = 1 + x - (1/6)*x^3 + x^4 + (121/120)*x^5 - (2/3)*x^6 - (4201/5040)*x^7 + (6/5)*x^8 + (478801/362880)*x^9 - (1294/945)*x^10 - ...

MATHEMATICA

With[{nn=20}, CoefficientList[Series[1/(1-Sin[x]+Sin[x]^2-Sin[x]^3), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Nov 28 2014 *)

CROSSREFS

Sequence in context: A195917 A334189 A042120 * A244794 A044356 A044737

Adjacent sequences: A002977 A002978 A002979 * A002981 A002982 A002983

KEYWORD

sign

AUTHOR

N. J. A. Sloane

EXTENSIONS

Corrected by N. J. A. Sloane, Nov 28 2014 at the suggestion of Harvey P. Dale

STATUS

approved