A060105 Sixth column (m=5) of triangle A060102.

1, 26, 246, 1442, 6292, 22374, 68354, 185614, 458601, 1048476, 2246244, 4553484, 8801104, 16319252, 29174652, 50495236, 84906041, 139104966, 222612170, 348732670, 535778100, 808600650, 1200499950, 1755572130, 2531579505, 3603429336, 5067360936, 7045952056

Offset

0,2

Links

T. D. Noe, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Formula

a(n)=(n+4)*(8*n^2+64*n+45)*binomial(n+7, 7)/(4*45).

G.f.: (1+15*x+15*x^2+x^3)/(1-x)^11.

Mathematica

LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {1, 26, 246, 1442, 6292, 22374, 68354, 185614, 458601, 1048476, 2246244}, 30] (* Harvey P. Dale, Feb 22 2023 *)

Crossrefs

Cf. A060104.

Sequence in context: A184461 A088889 A348490 * A108645 A086023 A296539

Adjacent sequences: A060102 A060103 A060104 * A060106 A060107 A060108

Keyword

nonn,easy

Author

Wolfdieter Lang, Apr 06 2001

Status

approved