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A010969
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Binomial coefficient C(n,16).
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2
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1, 17, 153, 969, 4845, 20349, 74613, 245157, 735471, 2042975, 5311735, 13037895, 30421755, 67863915, 145422675, 300540195, 601080390, 1166803110, 2203961430, 4059928950, 7307872110, 12875774670
(list; graph; refs; listen; history; internal format)
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OFFSET
| 16,2
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COMMENTS
| a(n) = A110555(n+1,16). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 27 2005
Coordination sequence for 16-dimensional cyclotomic lattice Z[zeta_17].
In this sequence only 17 is prime - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
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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+15)=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)/16! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
Gf.: x^16/(1-x)^17. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008, R. J. Mathar, Jul 07 2009]
a(n) = n/(n-16) * a(n-1), n>16. - Vincenzo Librandi, Mar 26 2011
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MAPLE
| seq(binomial(n, 16), n=16..37); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]
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MATHEMATICA
| Table[Binomial[n, 16], {n, 16, 50}] (* From Vladimir Joseph Stephan Orlovsky, Apr 22 2011 *)
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PROG
| (MAGMA) [ Binomial(n, 16): n in [16..80]]; - Vincenzo Librandi, Mar 26 2011
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CROSSREFS
| Sequence in context: A139617 A188353 A162637 * A022582 A164543 A160699
Adjacent sequences: A010966 A010967 A010968 * A010970 A010971 A010972
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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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