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A010970
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Binomial coefficient C(n,17).
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5
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1, 18, 171, 1140, 5985, 26334, 100947, 346104, 1081575, 3124550, 8436285, 21474180, 51895935, 119759850, 265182525, 565722720, 1166803110, 2333606220, 4537567650, 8597496600, 15905368710
(list; graph; refs; listen; history; internal format)
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OFFSET
| 17,2
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COMMENTS
| In this sequence there are no primes - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
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LINKS
| Milan Janjic, Two Enumerative Functions
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FORMULA
| a(n+16)=n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6)(n+7)(n+8)(n+9)(n+10)(n+11)(n+12)(n+13)(n+14)(n+15)(n+16)/17! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007, R. J. Mathar, Jul 07 2009
Gf.: x^17/(1-x)^18. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008, R. J. Mathar, Jul 07 2009]
a(n) = n/(n-17) * a(n-1), n>17. - Vincenzo Librandi, Mar 26 2011
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MAPLE
| seq(binomial(n, 17), n=17..37); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]
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MATHEMATICA
| Table[Binomial[n, 17], {n, 17, 50}] (* From Vladimir Joseph Stephan Orlovsky, Apr 22 2011 *)
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PROG
| (MAGMA) [ Binomial(n, 17): n in [17..80]]; - Vincenzo Librandi, Mar 26 2011
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CROSSREFS
| Sequence in context: A161878 A139618 A162638 * A126920 A022583 A052507
Adjacent sequences: A010967 A010968 A010969 * A010971 A010972 A010973
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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