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A010965 Binomial coefficient C(n,12). +0
4
1, 13, 91, 455, 1820, 6188, 18564, 50388, 125970, 293930, 646646, 1352078, 2704156, 5200300, 9657700, 17383860, 30421755, 51895935, 86493225, 141120525, 225792840, 354817320, 548354040, 834451800 (list; graph; listen)
OFFSET

12,2

COMMENT

a(n) = A110555(n+1,12). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 27 2005

Product of 12 consecutive numbers divided by 12! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

In this sequence only 13 is prime - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

With a different offset, number of n-permutations (n>=12) of 2 objects: u,v, with repetition allowed, containing exactly (12) u's. Example: n=12, a(0)=1 because we have uuuuuuuuuuuu n=13, a(1)=13 because we have uuuuuuuuuuuuv, uuuuuuuuuuuvu, uuuuuuuuuuvuu, uuuuuuuuuvuuu, uuuuuuuuvuuuu, uuuuuuuvuuuuu, uuuuuuvuuuuuu, uuuuuvuuuuuuu, uuuuvuuuuuuuu, uuuvuuuuuuuuu uuvuuuuuuuuuu, uvuuuuuuuuuuu, vuuuuuuuuuuuu. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]

With a different offset, number of n-permutations (n>=12) of 2 objects: u,v, with repetition allowed, containing exactly 12 u's. Example: n=12, a(0)=1 because we have uuuuuuuuuuuu n=13, a(1)=13 because we have uuuuuuuuuuuuv, uuuuuuuuuuuvu, uuuuuuuuuuvuu, uuuuuuuuuvuuu, uuuuuuuuvuuuu, uuuuuuuvuuuuu, uuuuuuvuuuuuu, uuuuuvuuuuuuu, uuuuvuuuuuuuu, uuuvuuuuuuuuu uuvuuuuuuuuuu, uvuuuuuuuuuuu, vuuuuuuuuuuuu. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 03 2008

FORMULA

a(n+11)=n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6)(n+7)(n+8)(n+9)(n+10)(n+11)/12! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007, R. J. Mathar, Jul 07 2009.

Gf.: x^12/(1-x)^13. a(n)=C(n,12), n>=12. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008, R. J. Mathar, Jul 07 2009]

MAPLE

seq(binomial(n, 12), n=12..36); [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)/12!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

CROSSREFS

Sequence in context: A139613 A008505 A008495 this_sequence A022578 A090020 A092469

Adjacent sequences: A010962 A010963 A010964 this_sequence A010966 A010967 A010968

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

Some formulas referring to other offsets corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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