A080423 (n+1)(n+2)(n+3)(n+4)(n+15)3^n/360.

1, 16, 153, 1134, 7182, 40824, 214326, 1058508, 4979799, 22517352, 98513415, 419129802, 1741000716, 7083045648, 28296044604, 111232727064, 431026817373, 1648861601184, 6234757929477, 23328137324646, 86451332438394

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (18,-135,540,-1215,1458,-729).

Formula

G.f. (1-2x)/(1-3x)^6

Mathematica

CoefficientList[Series[(1 - 2 x) / (1 - 3 x)^6, {x, 0, 30}], x] (* Vincenzo Librandi, Aug 05 2013 *)

Prog

(Magma) [Floor((n+1)*(n+2)*(n+3)*(n+4)*(n+15)*3^n/360): n in [0..30]]; // Vincenzo Librandi, Aug 05 2013

Crossrefs

T(n, 5) of triangle A080419.

Sequence in context: A224737 A076071 A096136 * A004313 A249981 A144499

Adjacent sequences: A080420 A080421 A080422 * A080424 A080425 A080426

Keyword

easy,nonn

Author

Paul Barry, Feb 19 2003

Status

approved