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A118486 a(n) is the smallest prime occurring in the prime factorization of n! to an odd power. +0
1
2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 3, 3, 2, 2, 2, 2, 5, 5, 11, 3, 2, 2, 7, 7, 2, 2, 2, 2, 5, 5, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 2, 2, 3, 3, 13, 13, 2, 2, 2, 2, 17, 5, 2, 2, 3, 3, 7, 7, 2, 2, 2, 2, 3, 3, 3, 5, 2, 2, 7, 7, 2, 2, 2, 2, 11 (list; graph; listen)
OFFSET

2,1

COMMENT

If n is even then a(n) is also the smallest prime factor in the binomial coefficient C(n, n/2).

EXAMPLE

a(10) = 7 since 10! = 2^8 * 3^4 * 5^2 *7 *11

CROSSREFS

Sequence in context: A130325 A107604 A080647 this_sequence A141299 A035681 A126788

Adjacent sequences: A118483 A118484 A118485 this_sequence A118487 A118488 A118489

KEYWORD

nonn

AUTHOR

John L. Drost (drost(AT)marshall.edu), Jul 21 2007

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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