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Search: id:A001288
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| A001288 |
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Binomial coefficients C(n,11). (Formerly M4850 N2073)
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+0 5
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| 1, 12, 78, 364, 1365, 4368, 12376, 31824, 75582, 167960, 352716, 705432, 1352078, 2496144, 4457400, 7726160, 13037895, 21474180, 34597290, 54627300
(list; graph; listen)
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OFFSET
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11,2
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COMMENT
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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
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REFERENCES
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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.
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LINKS
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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
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FORMULA
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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
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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)/11!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
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CROSSREFS
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Sequence in context: A139612 A008504 A008494 this_sequence A121665 A124863 A022577
Adjacent sequences: A001285 A001286 A001287 this_sequence A001289 A001290 A001291
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KEYWORD
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nonn
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AUTHOR
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njas
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