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A104478 a(n) = binomial(n+8,8)*binomial(n+12,8). 0
495, 11583, 135135, 1061775, 6370650, 31286970, 130864734, 486370170, 1621233900, 4946841900, 13992495660, 37058912748, 92647281870, 220089696750, 499568676750, 1088533853550, 2285921092455, 4642276728375, 9143878404375 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

It appears that all terms are multiples of 99. - Michel Marcus, Aug 01 2015

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = A000581(n+8)*A000581(n+12). - Michel Marcus, Aug 01 2015

EXAMPLE

a(0): C(0+8,8)*C(0+12,8) = C(8,8)*C(12,8) = 1*495 = 495.

a(7): C(7+8,8)*C(7+12,8) = C(15,8)*C(19,8) = 6435*75582 = 486370170.

MATHEMATICA

f[n_] := Binomial[n + 8, 8]Binomial[n + 12, 8]; Table[ f[n], {n, 0, 18}] (* Robert G. Wilson v, Apr 19 2005 *)

PROG

(PARI) vector(30, n, n--; binomial(n+8, 8)*binomial(n+12, 8)) \\ Michel Marcus, Jul 31 2015

(MAGMA) [Binomial(n+8, 8)*Binomial(n+12, 8): n in [0..30]]; // Vincenzo Librandi, Jul 31 2015

CROSSREFS

Cf. A000581.

Sequence in context: A055160 A055157 A027808 * A133352 A140913 A214555

Adjacent sequences:  A104475 A104476 A104477 * A104479 A104480 A104481

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos, Apr 18 2005

EXTENSIONS

Corrected and extended by Robert G. Wilson v, Apr 19 2005

STATUS

approved

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Last modified May 31 00:16 EDT 2020. Contains 334747 sequences. (Running on oeis4.)