A176290 Hankel transform of A105872.

1, 2, -3, -75, -650, -4507, -28267, -167406, -955271, -5310911, -28962586, -155616567, -826329687, -4345964510, -22675946635, -117526104883, -605643805098, -3105646720979, -15856669574339, -80653146223054

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (10,-27,10,-1).

Formula

G.f.: (1-8*x+4*x^2-x^3)/(1-5*x+x^2)^2.

Maple

seq(coeff(series((1-8*x+4*x^2-x^3)/(1-5*x+x^2)^2, x, n+1), x, n), n = 0..30); # G. C. Greubel, Nov 25 2019

Mathematica

LinearRecurrence[{10, -27, 10, -1}, {1, 2, -3, -75}, 30] (* Harvey P. Dale, Oct 29 2017 *)

Prog

(PARI) my(x='x+O('x^30)); Vec((1-8*x+4*x^2-x^3)/(1-5*x+x^2)^2) \\ G. C. Greubel, Nov 25 2019
(Magma) R<x>:=PowerSeriesRing(Integers(), 30); Coefficients(R!( (1-8*x+4*x^2-x^3)/(1-5*x+x^2)^2 )); // G. C. Greubel, Nov 25 2019
(Sage)
def A176290_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P((1-8*x+4*x^2-x^3)/(1-5*x+x^2)^2).list()
A176290_list(30) # G. C. Greubel, Nov 25 2019
(GAP) a:=[1, 2, -3, -75];; for n in [5..30] do a[n]:=10*a[n-1]-27*a[n-2]+10*a[n-3] -a[n-4]; od; a; # G. C. Greubel, Nov 25 2019

Crossrefs

Cf. A105872.

Sequence in context: A234237 A276197 A042233 * A371143 A370988 A371269

Adjacent sequences: A176287 A176288 A176289 * A176291 A176292 A176293

Keyword

easy,sign

Author

Paul Barry, Apr 14 2010

Status

approved