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A115628
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Factorization of n! into primorials.
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1
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1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 5, 1, 0, 1, 3, 3, 0, 1, 4, 2, 1, 1, 4, 2, 1, 0, 1, 5, 3, 1, 0, 1, 5, 3, 1, 0, 0, 1, 6, 3, 0, 1, 0, 1, 5, 3, 1, 1, 0, 1, 9, 3, 1, 1, 0, 1, 9, 3, 1, 1, 0, 0, 1, 8, 5, 1, 1, 0, 0, 1, 8, 5, 1, 1, 0, 0, 0, 1, 10, 4, 2, 1, 0, 0, 0, 1, 9, 5, 1, 2, 0, 0, 0, 1, 10, 5, 1, 1, 1
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OFFSET
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2,4
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COMMENTS
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Factorial of n has a unique representation as a product of primorials: n! = 2#^T(n,1)*3#^T(n,2)*...*P_{Pi(n)}#^T(n,Pi(n)).
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LINKS
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Table of n, a(n) for n=2..105.
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FORMULA
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T(n, k) = A115727(n, k)-A115727(n, k+1).
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EXAMPLE
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Rows start: 1; 0,1; 2,1; 2,0,1; 2,1,1; 2,1,0,1; 5,1,0,1; 3,3,0,1.
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CROSSREFS
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Cf. A115627, A000142, A002110. Row lengths are A000720.
Sequence in context: A321104 A127442 A357524 * A114002 A114004 A306518
Adjacent sequences: A115625 A115626 A115627 * A115629 A115630 A115631
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KEYWORD
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nonn,tabf
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AUTHOR
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Franklin T. Adams-Watters, Jan 26 2006
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STATUS
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approved
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