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A010970 Binomial coefficient C(n,17). +0
2
1, 18, 171, 1140, 5985, 26334, 100947, 346104, 1081575, 3124550, 8436285, 21474180, 51895935, 119759850, 265182525, 565722720, 1166803110, 2333606220, 4537567650, 8597496600, 15905368710 (list; graph; listen)
OFFSET

17,2

COMMENT

Product of 17 consecutive numbers divided by 17!. - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

In this sequence there are no primes - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

With a different offset, number of n-permutations (n>=17) of 2 objects: u,v, with repetition allowed, containing exactly (17) u's. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]

With a different offset, number of n-permutations (n>=17) of 2 objects: u,v, with repetition allowed, containing exactly 17 u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008

LINKS

Milan Janjic, Two Enumerative Functions

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. a(n)=C(n,17),n>=17. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008, R. J. Mathar, Jul 07 2009]

MAPLE

seq(binomial(n, 17), n=17..37); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]

MATHEMATICA

Table[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+1\ 4)(n+15)(n+16)/17!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

CROSSREFS

Sequence in context: A125381 A126539 A139618 this_sequence A126920 A022583 A052507

Adjacent sequences: A010967 A010968 A010969 this_sequence A010971 A010972 A010973

KEYWORD

nonn

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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