A077976 Expansion of 1/(1+x+x^2+2*x^3).

1, -1, 0, -1, 3, -2, 1, -5, 8, -5, 7, -18, 21, -17, 32, -57, 59, -66, 121, -173, 184, -253, 415, -530, 621, -921, 1360, -1681, 2163, -3202, 4401, -5525, 7528, -10805, 14327, -18578, 25861, -35937, 47232, -63017, 87659, -119106, 157481, -213693, 294424, -395693, 528655, -721810, 984541, -1320041

Offset

0,5

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (-1,-1,-2).

Mathematica

LinearRecurrence[{-1, -1, -2}, {1, -1, 0}, 50] (* Vladimir Joseph Stephan Orlovsky, Feb 24 2012 *)

Prog

(PARI) my(x='x+O('x^50)); Vec(1/(1+x+x^2+2*x^3)) \\ G. C. Greubel, Jun 25 2019
(Magma) R<x>:=PowerSeriesRing(Integers(), 50); Coefficients(R!( 1/(1+x+x^2+2*x^3) )); // G. C. Greubel, Jun 25 2019
(Sage) (1/(1+x+x^2+2*x^3)).series(x, 50).coefficients(x, sparse=False) # G. C. Greubel, Jun 25 2019
(GAP) a:=[1, -1, 0];; for n in [4..50] do a[n]:=-a[n-1]-a[n-2]-2*a[n-3]; od; a; # G. C. Greubel, Jun 25 2019

Crossrefs

Partial sums give: A077909.

Sequence in context: A079628 A140287 A077951 * A021912 A114597 A199479

Adjacent sequences: A077973 A077974 A077975 * A077977 A077978 A077979

Keyword

sign,easy

Author

N. J. A. Sloane, Nov 17 2002

Status

approved