Search: id:A001287
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%I A001287 M4794 N2046
%S A001287 1,11,66,286,1001,3003,8008,19448,43758,92378,184756,352716,646646,
%T A001287 1144066,1961256,3268760,5311735,8436285,13123110,20030010,30045015
%N A001287 Binomial coefficients C(n,10).
%C A001287 a(n) = A110555(n+1,10). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jul 27 2005
%C A001287 Product of 10 consecutive numbers divided by 10! - Artur Jasinski (grafix(AT)csl.pl), 
               Dec 02 2007
%C A001287 In this sequence only 11 is prime - Artur Jasinski (grafix(AT)csl.pl), 
               Dec 02 2007
%C A001287 With a different offset, number of n-permutations (n>=10) of 2 objects: 
               u,v, with repetition allowed, containing exactly (10) u's. Example: 
               a(1)=11 because we have uuuuuuuuuuv, uuuuuuuuuvu, uuuuuuuuvuu, uuuuuuuvuuu, 
               uuuuuuvuuuu, uuuuuvuuuuu, uuuuvuuuuuu, uuuvuuuuuuu, uuvuuuuuuuu, 
               uvuuuuuuuuu and vuuuuuuuuuu. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Aug 06 2008]
%C A001287 With a different offset, number of n-permutations (n>=10) of 2 objects: 
               u,v, with repetition allowed, containing exactly 10 u's. Example: 
               a(1)=11 because we have uuuuuuuuuuv, uuuuuuuuuvu, uuuuuuuuvuu, uuuuuuuvuuu, 
               uuuuuuvuuuu, uuuuuvuuuuu, uuuuvuuuuuu, uuuvuuuuuuu, uuvuuuuuuuu, 
               uvuuuuuuuuu and vuuuuuuuuuu. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Aug 03 2008
%D A001287 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001287 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001287 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.
%D A001287 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.
%D A001287 J. C. P. Miller, editor, Table of Binomial Coefficients. Royal Society 
               Mathematical Tables, Vol. 3, Cambridge Univ. Press, 1954.
%D A001287 A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, 
               p. 196.
%H A001287 T. D. Noe, <a href="b001287.txt">Table of n, a(n) for n=10..1000</a>
%H A001287 Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Two Enumerative 
               Functions</a>
%H A001287 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%H A001287 P. J. Cameron, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">
               Sequences realized by oligomorphic permutation groups</a>, J. Integ. 
               Seqs. Vol. 3 (2000), #00.1.5.
%H A001287 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=260">
               Encyclopedia of Combinatorial Structures 260</a>
%F A001287 a(n+9)=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, R. J. Mathar, Jul 07 2009
%F A001287 G.f.: x^10/(1-x)^11. C(n,10). [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Aug 06 2008, R. J. Mathar, Jul 07 2009]
%p A001287 seq(binomial(n,10),n=0..31); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Aug 06 2008]
%t A001287 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
%Y A001287 Sequence in context: A162628 A008503 A008493 this_sequence A022576 A000460 
               A030115
%Y A001287 Adjacent sequences: A001284 A001285 A001286 this_sequence A001288 A001289 
               A001290
%K A001287 nonn,easy
%O A001287 10,2
%A A001287 N. J. A. Sloane (njas(AT)research.att.com).
%E A001287 Formulas valid for different offsets rewritten by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jul 07 2009

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