A329514 Expansion of g.f.: (2*x^5-3*x^4+x^3-2*x^2-1)*(1+x)^2/(x-1).

1, 3, 6, 9, 12, 15, 14, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12

Offset

0,2

Links

Table of n, a(n) for n=0..64.

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

Formula

a(n) = 12 for n >= 7.

E.g.f.: 12*exp(x) - 11 - 9*x - x^2*(1080 + 180*x - 9*x^3 - x^4)/360. - Stefano Spezia, Oct 08 2022

Mathematica

CoefficientList[Series[(2x^5-3x^4+x^3-2x^2-1)(1+x)^2/(x-1), {x, 0, 120}], x] (* or *) PadRight[{1, 3, 6, 9, 12, 15, 14}, 120, {12}] (* Harvey P. Dale, Sep 12 2025 *)

Crossrefs

Row 3 of array in A329512.

Sequence in context: A395189 A091780 A331060 * A346951 A162500 A191405

Adjacent sequences: A329511 A329512 A329513 * A329515 A329516 A329517

Keyword

nonn,easy

Author

N. J. A. Sloane, Nov 24 2019

Status

approved