A081280 Binomial transform of Chebyshev coefficients A006974.

1, 10, 69, 398, 2057, 9858, 44685, 194022, 813969, 3319866, 13224789, 51635070, 198148761, 749016882, 2794021533, 10300389462, 37575535905, 135782112618, 486470994021, 1729358969454, 6104068084521, 21404982017250, 74609825192109

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (15,-90,270,-405,243).

Formula

a(n) = (n^4+24*n^3+164*n^2+378*n+243) * 3^(n-5).

a(n) = 15*a(n-1) -90*a(n-2) +270a*(n-3) -405*a(n-4) +243*a(n-5).

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

Mathematica

CoefficientList[Series[(1 - 2 x) (1 - x)^3 / (1 - 3 x)^5, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 07 2013 *)
LinearRecurrence[{15, -90, 270, -405, 243}, {1, 10, 69, 398, 2057}, 30] (* Harvey P. Dale, May 05 2019 *)

Prog

(Magma) [(n^4+24*n^3+164*n^2+378*n+243)*3^(n-5): n in [0..25]]; // Vincenzo Librandi, Aug 07 2013 *)

Crossrefs

Cf. A007051, A006234, A081279, A081281.

Sequence in context: A321060 A026958 A026988 * A038806 A016273 A128737

Adjacent sequences: A081277 A081278 A081279 * A081281 A081282 A081283

Keyword

easy,nonn

Author

Paul Barry, Mar 16 2003

Status

approved