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

Author

Paul Barry, Mar 16 2003

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (9,-27,27).

Crossrefs

Cf. A007051, A006234, A081279.

Programs

Magma

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

Mathematica

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

Formula

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

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