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A001288 Binomial coefficients C(n,11).
(Formerly M4850 N2073)
+0
5
1, 12, 78, 364, 1365, 4368, 12376, 31824, 75582, 167960, 352716, 705432, 1352078, 2496144, 4457400, 7726160, 13037895, 21474180, 34597290, 54627300 (list; graph; listen)
OFFSET

11,2

COMMENT

a(n) = -A110555(n+1,11). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jul 27 2005

Product of 11 consecutive numbers divided by 11! - 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

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.

J. C. P. Miller, editor, Table of Binomial Coefficients. Royal Society Mathematical Tables, Vol. 3, Cambridge Univ. Press, 1954.

L. E. Dickson, History of the Theory of Numbers. Carnegie Institute Public. 256, Washington, DC, Vol. 1, 1919; Vol. 2, 1920; Vol. 3, 1923, see vol. 2, p. 7.

A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, p. 196.

LINKS

T. D. Noe, Table of n, a(n) for n=11..1000

Milan Janjic, Two Enumerative Functions

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].

P. J. Cameron, Sequences realized by oligomorphic permutation groups, J. Integ. Seqs. Vol. 3 (2000), #00.1.5.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 261

FORMULA

a(n)=n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6)(n+7)(n+8)(n+9)(n+10)/11! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

MATHEMATICA

Table[n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6)(n+7)(n+8)(n+9)(n+10)/11!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

CROSSREFS

Sequence in context: A139612 A008504 A008494 this_sequence A121665 A124863 A022577

Adjacent sequences: A001285 A001286 A001287 this_sequence A001289 A001290 A001291

KEYWORD

nonn

AUTHOR

njas

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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