A202481 Column k = 3 of triangular array in A165241.

1, 10, 55, 231, 833, 2720, 8280, 23920, 66352, 178176, 465920, 1191680, 2991360, 7389184, 17999872, 43315200, 103116800, 243138560, 568393728, 1318518784, 3037265920, 6952058880, 15820390400, 35809918976, 80659611648

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (8,-24,32,-16).

Formula

G.f.: (1+2x-x^2-x^3+x^4)/(1-2x)^4.

a(n) = A165241(n+3,3).

a(n) = 2^n*(n+3)*(3*n+2)*(3*n+5)/32 for n>0. - Bruno Berselli, Dec 21 2011

Mathematica

LinearRecurrence[{8, -24, 32, -16}, {1, 10, 55, 231, 833}, 30] (* Harvey P. Dale, Dec 04 2018 *)

Crossrefs

Cf. A011782, A084858, A165241, A202480

Sequence in context: A337631 A249460 A022575 * A348663 A169720 A024210

Adjacent sequences: A202478 A202479 A202480 * A202482 A202483 A202484

Keyword

nonn,easy

Author

Philippe Deléham, Dec 20 2011

Status

approved