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Search: id:A010967
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| A010967 |
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Binomial coefficient C(n,14). |
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+0 3
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| 1, 15, 120, 680, 3060, 11628, 38760, 116280, 319770, 817190, 1961256, 4457400, 9657700, 20058300, 40116600, 77558760, 145422675, 265182525, 471435600, 818809200, 1391975640, 2319959400, 3796297200, 6107086800
(list; graph; listen)
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OFFSET
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14,2
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COMMENT
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a(n) = A110555(n+1,14). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 27 2005
Product of 14 consecutive numbers divided by 14!. - 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>=14) of 2 objects: u,v, with repetition allowed, containing exactly (14) u's. Example: n=14, a(0)=1 because we have uuuuuuuuuuuuuu n=15, a(1)=15 because we have uuuuuuuuuuuuuuv, uuuuuuuuuuuuuvu, uuuuuuuuuuuuvuu, uuuuuuuuuuuvuuu, uuuuuuuuuuvuuuu, uuuuuuuuuvuuuuu, uuuuuuuuvuuuuuu, uuuuuuuvuuuuuuu, uuuuuuvuuuuuuuu, uuuuuvuuuuuuuuu, uuuuvuuuuuuuuuu, uuuvuuuuuuuuuuu, uuvuuuuuuuuuuuu, uvuuuuuuuuuuuuu, vuuuuuuuuuuuuuu. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]
With a different offset, number of n-permutations (n>=14) of 2 objects: u,v, with repetition allowed, containing exactly 14 u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 03 2008
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LINKS
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Milan Janjic, Two Enumerative Functions
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FORMULA
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a(n+13)=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)/14! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007, R. J. Mathar, Jul 07 2009.
Gf.: x^14/(1-x)^15. a(n)=C(n,14),n>=14 [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, 14), n=14..37); [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)(n+12)(n+13)/14!\ , {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
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CROSSREFS
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Sequence in context: A139615 A027484 A126898 this_sequence A022580 A081079 A138424
Adjacent sequences: A010964 A010965 A010966 this_sequence A010968 A010969 A010970
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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 rewritten for the correct offset by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2009
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