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Search: id:A010972
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| A010972 |
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Binomial coefficient C(n,19). |
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+0
3
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| 1, 20, 210, 1540, 8855, 42504, 177100, 657800, 2220075, 6906900, 20030010, 54627300, 141120525, 347373600, 818809200, 1855967520, 4059928950, 8597496600, 17672631900, 35345263800, 68923264410
(list; graph; listen)
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OFFSET
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19,2
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COMMENT
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Product of 19 consecutive numbers divided by 19!. - 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>=19) of 2 objects: u,v, with repetition allowed, containing exactly (19) u's. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008]
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FORMULA
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a(n+18)=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)/19! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007, R. J. Mathar, Jul 07 2009.
Gf.: x^19/(1-x)^20. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008, R. J. Mathar, Jul 07 2009]
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MAPLE
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(Maple) seq(binomial(n, 19), n=19..39); [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)/19!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
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CROSSREFS
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Sequence in context: A139620 A094311 A060853 this_sequence A126905 A022585 A007744
Adjacent sequences: A010969 A010970 A010971 this_sequence A010973 A010974 A010975
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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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