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Search: id:A010965
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| A010965 |
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Binomial coefficient C(n,12). |
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+0 4
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| 1, 13, 91, 455, 1820, 6188, 18564, 50388, 125970, 293930, 646646, 1352078, 2704156, 5200300, 9657700, 17383860, 30421755, 51895935, 86493225, 141120525, 225792840, 354817320, 548354040, 834451800
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OFFSET
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12,2
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COMMENT
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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
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FORMULA
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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]
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MAPLE
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seq(binomial(n, 12), n=12..36); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]
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MATHEMATICA
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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
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CROSSREFS
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Sequence in context: A139613 A008505 A008495 this_sequence A022578 A090020 A092469
Adjacent sequences: A010962 A010963 A010964 this_sequence A010966 A010967 A010968
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Some formulas referring to other offsets corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2009
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