Search: id:A010972
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%I A010972
%S A010972 1,20,210,1540,8855,42504,177100,657800,2220075,6906900,
%T A010972 20030010,54627300,141120525,347373600,818809200,1855967520,
%U A010972 4059928950,8597496600,17672631900,35345263800,68923264410
%N A010972 Binomial coefficient C(n,19).
%C A010972 Product of 19 consecutive numbers divided by 19!. - Artur Jasinski (grafix(AT)csl.pl), 
               Dec 02 2007
%C A010972 In this sequence there are no primes - Artur Jasinski (grafix(AT)csl.pl), 
               Dec 02 2007
%C A010972 With a different offset, number of n-permutations (n>=19) of 2 objects: 
               u,v, with repetition allowed, containing exactly (19) u's. [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 04 2008]
%F A010972 a(n+18)=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)(n+16)(n+17)(n+18)/
               19! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007, R. J. Mathar, 
               Jul 07 2009.
%F A010972 Gf.: x^19/(1-x)^20. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Aug 04 2008, R. J. Mathar, Jul 07 2009]
%p A010972 (Maple) seq(binomial(n,19),n=19..39); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Aug 04 2008]
%t A010972 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+14)(n+15)(n+16)(n+17)(n+18)/
               19!,{n,1,100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007
%Y A010972 Sequence in context: A139620 A094311 A060853 this_sequence A126905 A022585 
               A007744
%Y A010972 Adjacent sequences: A010969 A010970 A010971 this_sequence A010973 A010974 
               A010975
%K A010972 nonn
%O A010972 19,2
%A A010972 N. J. A. Sloane (njas(AT)research.att.com).

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