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A105250 a(n) = binomial(n+3,n)*binomial(n+7,n). 1
1, 32, 360, 2400, 11550, 44352, 144144, 411840, 1061775, 2516800, 5562128, 11583936, 22926540, 43411200, 79070400, 139163904, 237557133, 394558560, 639331000, 1013012000, 1572701130, 2396496960, 3589794000, 5293080000, 7691506875, 11026544256, 15610063392 (list; graph; refs; listen; history; text; internal format)
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

G.f.: -(35*x^3+63*x^2+21*x+1)/(x-1)^11. [Colin Barker, Jan 21 2013]

EXAMPLE

a(0): C(0+3,0)*C(0+7,0) = C(3,0)*C(7,0) = 1*1 = 1;

a(10): C(10+3,10)*C(10+7,10) = C(13,10)*(17,10) = 286*19448 = 5562128.

MATHEMATICA

f[n_] := Binomial[n + 3, n]Binomial[n + 7, n]; Table[ f[n], {n, 0, 23}] (* Robert G. Wilson v, Apr 20 2005 *)

PROG

(MAGMA) [Binomial(n+3, n)*Binomial(n+7, n): n in [0..30]]; // Vincenzo Librandi, Jul 31 2015

CROSSREFS

Cf. A062264.

Sequence in context: A158074 A200531 A260359 * A240787 A191901 A191489

Adjacent sequences:  A105247 A105248 A105249 * A105251 A105252 A105253

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos, Apr 14 2005

EXTENSIONS

More terms from Robert G. Wilson v, Apr 20 2005

STATUS

approved

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Last modified December 10 20:48 EST 2017. Contains 295856 sequences.