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A010971
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Binomial coefficient C(n,18).
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5
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1, 19, 190, 1330, 7315, 33649, 134596, 480700, 1562275, 4686825, 13123110, 34597290, 86493225, 206253075, 471435600, 1037158320, 2203961430, 4537567650, 9075135300, 17672631900, 33578000610
(list; graph; refs; listen; history; internal format)
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OFFSET
| 18,2
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COMMENTS
| Coordination sequence for 18-dimensional cyclotomic lattice Z[zeta_19].
Product of 18 consecutive numbers divided by 18!. - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
In this sequence only 19 is prime - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
With a different offset, number of n-permutations (n>=18) of 2 objects: u,v, with repetition allowed, containing exactly (18) u's. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008]
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REFERENCES
| M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136.
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LINKS
| Milan Janjic, Two Enumerative Functions
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FORMULA
| a(n+17)=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)/18! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007, R. J. Mathar, Jul 07 2009.
Gf.: x^18/(1-x)^19. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008, R. J. Mathar, Jul 07 2009]
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MAPLE
| (Maple) seq(binomial(n, 18), n=18..38); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008]
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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)(n+12)(n+13)(n+14)(n+15)(n+16)(n+17)/18!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
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CROSSREFS
| Sequence in context: A139619 A121039 A162639 * A022584 A140569 A142268
Adjacent sequences: A010968 A010969 A010970 * A010972 A010973 A010974
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Some formulas adjusted to the offset by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2009
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