A060558 Fifth column (m=4) of triangle A060556.

5, 55, 316, 1284, 4170, 11550, 28380, 63492, 131703, 256685, 474760, 839800, 1429428, 2352732, 3759720, 5852760, 8900265, 13252899, 19362596, 27804700, 39303550, 54761850, 75294180, 102265020, 137331675, 182492505, 240140880, 313125296, 404816104, 519179320, 660858000

Offset

0,1

Links

Harry J. Smith, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Formula

a(n) = (2*n^2 + 18*n + 35)*binomial(n+6, 6)/7.

G.f.: (5 + 10*x + x^2)/(1-x)^9.

Prog

(PARI) a(n)={(2*n^2 + 18*n + 35)*binomial(n + 6, 6)/7} \\ Harry J. Smith, Jul 07 2009

Crossrefs

Cf. A000217, A004320, A040977, A060556.

Sequence in context: A078216 A014700 A103326 * A348065 A014852 A144893

Adjacent sequences: A060555 A060556 A060557 * A060559 A060560 A060561

Keyword

nonn,easy

Author

Wolfdieter Lang, Apr 06 2001

Status

approved