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A010969 Binomial coefficient C(n,16). +0
3
1, 17, 153, 969, 4845, 20349, 74613, 245157, 735471, 2042975, 5311735, 13037895, 30421755, 67863915, 145422675, 300540195, 601080390, 1166803110, 2203961430, 4059928950, 7307872110, 12875774670 (list; graph; listen)
OFFSET

16,2

COMMENT

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].

Product of 16 consecutive numbers divided by 16!. - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

In this sequence only 17 is prime - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

With a different offset, number of n-permutations (n>;=16) of 2 objects: u,v, with repetition allowed, containing exactly (16) u's. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]

With a different offset, number of n-permutations (n>=16) of 2 objects: u,v, with repetition allowed, containing exactly 16 u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008

REFERENCES

M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136.

LINKS

Milan Janjic, Two Enumerative Functions

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. a(n)=C(n,16),n>=16. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008, R. J. Mathar, Jul 07 2009]

MAPLE

seq(binomial(n, 16), n=16..37); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]

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+1\ 4)(n+15)/16!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

CROSSREFS

Sequence in context: A083294 A064102 A139617 this_sequence A022582 A164543 A034272

Adjacent sequences: A010966 A010967 A010968 this_sequence A010970 A010971 A010972

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Some formulas adjusted to the offset by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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