A081278 Binomial transform of Chebyshev polynomial coefficients A001793.

1, 6, 29, 126, 513, 1998, 7533, 27702, 99873, 354294, 1240029, 4290894, 14703201, 49955454, 168466797, 564390342, 1879706817, 6227425638, 20533285917, 67411165086, 220442258241, 718277586606, 2332658764269, 7552375012566

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (9,-27,27).

Formula

a(n) = (n^2+8*n+9)3^(n-2).

G.f.: (1-2*x)*(1-x)/(1-3x)^3.

Mathematica

CoefficientList[Series[(1 - 2 x) (1 - x) / (1 - 3 x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 07 2013 *)

Prog

(Magma) [(n^2+8*n+9)*3^(n-2): n in [0..25]]; // Vincenzo Librandi, Aug 07 2013

Crossrefs

Cf. A007051, A006234, A081279.

Sequence in context: A243474 A111644 A225618 * A054146 A172062 A081674

Adjacent sequences: A081275 A081276 A081277 * A081279 A081280 A081281

Keyword

nonn,easy

Author

Paul Barry, Mar 16 2003

Status

approved