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A001449 Binomial coefficients binomial(5n,n). 2
1, 5, 45, 455, 4845, 53130, 593775, 6724520, 76904685, 886163135, 10272278170, 119653565850, 1399358844975, 16421073515280, 193253756909160, 2280012686716080, 26958221130508525 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

T. D. Noe, Table of n, a(n) for n=0..100

FORMULA

(5*n)!/((4*n)!*(n)!).

a(n) is asymptotic to c/sqrt(n)*(3125/256)^n with c=sqrt(5/8/Pi)=0.44603102903819277863474159... - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 23 2008

MAPLE

f := n->(5*n)!/((4*n)!*(n)!);

MATHEMATICA

Table[ Binomial[5n, n], {n, 0, 18} ]

PROG

(MAGMA)[ Binomial(5*n, n): n in [0..100] ]; // Vincenzo Librandi, Apr 13 2011

CROSSREFS

Sequence in context: A054318 A093140 A137233 * A199753 A130976 A191095

Adjacent sequences:  A001446 A001447 A001448 * A001450 A001451 A001452

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 03:37 EST 2012. Contains 205570 sequences.