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Search: id:A010974
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| A010974 |
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Binomial coefficient C(n,21). |
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+0
2
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| 1, 22, 253, 2024, 12650, 65780, 296010, 1184040, 4292145, 14307150, 44352165, 129024480, 354817320, 927983760, 2319959400, 5567902560, 12875774670, 28781143380, 62359143990, 131282408400, 269128937220
(list; graph; listen)
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OFFSET
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21,2
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COMMENT
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Product of 21 consecutive numbers divided by 21!. - 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>=21) of 2 objects: u,v, with repetition allowed, containing exactly (21) u's. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 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)=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)(n+17)(n+18)(n+19)(n+20)/21! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
Gf.: 1/(1-x)^22. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008]
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MAPLE
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(Maple) seq(binomial(n, 21), n=21..41); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 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)(n+1\ 4)(n+15)(n+16)(n+17)(n+18)(n+19)(n+20)/21!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
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CROSSREFS
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Pascal's triangle A007318 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008]
Sequence in context: A109251 A072076 A028571 this_sequence A022587 A143479 A004412
Adjacent sequences: A010971 A010972 A010973 this_sequence A010975 A010976 A010977
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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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