A147604 Expansion of g.f.: (1 + x^2 - x^3)/(1 - x - x^2 + x^3 - x^5).

1, 1, 3, 2, 4, 4, 7, 10, 15, 22, 31, 45, 64, 93, 134, 194, 280, 404, 583, 841, 1214, 1752, 2529, 3650, 5268, 7603, 10973, 15837, 22857, 32989, 47612, 68717, 99177, 143139, 206588, 298162, 430328, 621079, 896384, 1293723, 1867190, 2694857, 3889403

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (1,1,-1,0,1).

Formula

G.f.: (1 + x^2 - x^3)/(1 - x - x^2 + x^3 - x^5). - Colin Barker, Nov 02 2012

Mathematica

LinearRecurrence[{1, 1, -1, 0, 1}, {1, 1, 3, 2, 4}, 51] (* G. C. Greubel, Oct 25 2022 *)

Prog

(Magma) R<x>:=PowerSeriesRing(Integers(), 50); Coefficients(R!( (1+x^2-x^3)/(1-x-x^2+x^3-x^5) )); // G. C. Greubel, Oct 25 2022
(SageMath)
def A147604_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( (1+x^2-x^3)/(1-x-x^2+x^3-x^5) ).list()
A147604_list(50) # G. C. Greubel, Oct 25 2022

Crossrefs

Sequence in context: A241412 A241445 A371180 * A095401 A309511 A195472

Adjacent sequences: A147601 A147602 A147603 * A147605 A147606 A147607

Keyword

nonn,easy

Author

Roger L. Bagula, Nov 08 2008

Extensions

Edited by G. C. Greubel, Oct 25 2022

Status

approved