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A107418 a(n) = C(n+3,3)*C(n+6,6). 1
1, 28, 280, 1680, 7350, 25872, 77616, 205920, 495495, 1101100, 2290288, 4504864, 8446620, 15193920, 26356800, 44279424, 72299997, 115079580, 179012680, 272734000, 407737330, 599124240, 866502000, 1235052000, 1736791875 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Robert Israel, Table of n, a(n) for n = 0..10000

FORMULA

G.f.: (20*x^3+45*x^2+18*x+1)/(x-1)^10. - Robert Israel, Feb 24 2017

EXAMPLE

If n=0 then C(0+3,3)*C(0+6,6)= C(3,3)*C(6,6)=1*1=1

If n=8 then C(8+3,3)*C(8+6,6)=C(11,3)*C(14,6)=165*3003=495495

MAPLE

seq(binomial(n+3, 3)*binomial(n+6, 6), n=0..100); # Robert Israel, Feb 24 2017

PROG

(PARI) for(n=0, 29, print1(binomial(n+3, 3)*binomial(n+6, 6), ", "))

CROSSREFS

Cf. A062145.

Sequence in context: A126549 A300297 A250649 * A183484 A241621 A027781

Adjacent sequences:  A107415 A107416 A107417 * A107419 A107420 A107421

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos, May 26 2005

EXTENSIONS

Corrected and extended by Rick L. Shepherd, May 27 2005

STATUS

approved

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Last modified April 22 06:14 EDT 2019. Contains 322329 sequences. (Running on oeis4.)