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Search: id:A001287
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| A001287 |
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Binomial coefficients C(n,10).
(Formerly M4794 N2046)
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+0
4
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| 1, 11, 66, 286, 1001, 3003, 8008, 19448, 43758, 92378, 184756, 352716, 646646, 1144066, 1961256, 3268760, 5311735, 8436285, 13123110, 20030010, 30045015
(list; graph; listen)
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OFFSET
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10,2
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COMMENT
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a(n) = A110555(n+1,10). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jul 27 2005
Product of 10 consecutive numbers divided by 10! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
In this sequence only 11 is prime - 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.
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.
J. C. P. Miller, editor, Table of Binomial Coefficients. Royal Society Mathematical Tables, Vol. 3, Cambridge Univ. Press, 1954.
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=10..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 260
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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)/10! - 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)/10!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
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CROSSREFS
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Sequence in context: A063842 A008503 A008493 this_sequence A022576 A000460 A030115
Adjacent sequences: A001284 A001285 A001286 this_sequence A001288 A001289 A001290
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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