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A120303
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Largest prime factor of Catalan number A000108[n].
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0
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2, 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, 131
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| All prime numbers are present in a(n) in their natural order with repetition. The number of repetitions is equal to A028334[n]: differences between consecutive primes, divided by 2. - Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 30 2006
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FORMULA
| a(n) = Max[FactorInteger[(2n)!/n!/(n+1)! ]]. a(n) = A060308[n] = A060265[n] for n>2.
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MATHEMATICA
| Table[Max[FactorInteger[(2n)!/n!/(n+1)! ]], {n, 2, 100}]
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CROSSREFS
| Cf. A000108, A060308, A060265, A020482.
Cf. A028334.
Sequence in context: A096624 A145378 A069887 * A093413 A004099 A084959
Adjacent sequences: A120300 A120301 A120302 * A120304 A120305 A120306
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KEYWORD
| nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 13 2006
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