A123013 a(n) = A122192(n)/6.

1, 0, -253, -1288, 191521, 1629320, -141854525, -1729034384, 103325091969, 1676517701264, -73862084838333, -1537330036703384, 51664189190888737, 1355829753195189272, -35196896202269431421, -1160994902209537876768, 23182613727557891170817, 970833262148740191853344

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (0,-759,-2576,-759,0,-1).

Formula

G.f.: (1 + 506*x^2 + 1288*x^3 + 253*x^4)/(1 + 759*x^2 + 2576*x^3 + 759*x^4 + x^6). - G. C. Greubel, Jul 11 2021

Mathematica

LinearRecurrence[{0, -759, -2576, -759, 0, -1}, {1, 0, -253, -1288, 191521, 1629320}, 31] (* G. C. Greubel, Jul 11 2021 *)

Prog

(Sage)
def A123013_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( (1+506*x^2+1288*x^3+253*x^4)/(1+759*x^2+2576*x^3+759*x^4 +x^6) ).list()
A123013_list(30) # G. C. Greubel, Jul 11 2021

Crossrefs

Cf. A122192.

Sequence in context: A245790 A070193 A054737 * A183449 A225021 A242463

Adjacent sequences: A123010 A123011 A123012 * A123014 A123015 A123016

Keyword

sign

Author

N. J. A. Sloane, Nov 12 2006

Status

approved