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A104677 a(n) =  binomial(n+3,3)*binomial(n+8,3). 2
56, 336, 1200, 3300, 7700, 16016, 30576, 54600, 92400, 149600, 233376, 352716, 518700, 744800, 1047200, 1445136, 1961256, 2622000, 3458000, 4504500, 5801796, 7395696, 9338000, 11687000, 14508000, 17873856, 21865536, 26572700, 32094300, 38539200, 46026816 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

FORMULA

a(n) = A000292(n+1)*A000292(n+6) = 4*A033276(n+6). - R. J. Mathar, Nov 29 2015

G.f. 4*(-14+14*x-6*x^2+x^3)/(x-1)^7. - R. J. Mathar, Nov 29 2015

EXAMPLE

If n=0 then C(0+3,0+0)*C(0+8,3) = C(3,0)*C(8,3) = 1*56 = 56.

If n=8 then C(8+3,8+0)*C(8+8,3) = C(11,8)*C(16,3) = 165*560 = 92400.

CROSSREFS

Cf. A062190.

Sequence in context: A005912 A264581 A220202 * A156375 A219718 A296823

Adjacent sequences:  A104674 A104675 A104676 * A104678 A104679 A104680

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos, Apr 22 2005

STATUS

approved

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Last modified September 24 14:00 EDT 2020. Contains 337321 sequences. (Running on oeis4.)