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Search: id:A060308
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| 2, 3, 5, 7, 7, 11, 13, 13, 17, 19, 19, 23, 23, 23, 29, 31, 31, 31, 37, 37, 41, 43, 43, 47, 47, 47, 53, 53, 53, 59, 61, 61, 61, 67, 67, 71, 73, 73, 73, 79, 79, 83, 83, 83, 89, 89, 89, 89, 97, 97, 101, 103, 103, 107, 109, 109, 113, 113, 113, 113, 113, 113, 113, 127, 127, 131
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n) is the smallest k such that C(2n,n) divides k!. - Benoit Cloitre (benoit7848c(AT)orange.fr), May 30 2002
a(n) is largest prime factor of C(2n,n) = (2n)!/(n!)^2. - Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 11 2006
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FORMULA
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a(n) = Max[FactorInteger[(2n)!/(n!)^2]]. - Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 11 2006
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EXAMPLE
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n=1,2n=2,p(1)=2=a(1) is the largest prime not exceeding 2
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MAPLE
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with(numtheory): [seq(prevprime(2*i), i=2..256)];
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MATHEMATICA
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Table[Max[FactorInteger[(2n)!/(n!)^2]], {n, 1, 100}] - Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 11 2006
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CROSSREFS
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Cf. A020482, A049653, A060266-A060268, A060264. Apart from initial term, same as A060265.
Sequence in context: A156900 A039734 A020482 this_sequence A064142 A067792 A119317
Adjacent sequences: A060305 A060306 A060307 this_sequence A060309 A060310 A060311
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Mar 27 2001
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EXTENSIONS
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More terms from Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 11 2006
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