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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,4
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COMMENTS
| 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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FORMULA
| T(n, k) = A115727(n, k)-A115727(n, k+1).
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EXAMPLE
| 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
| Cf. A115627, A000142, A002110. Row lengths are A000720.
Sequence in context: A057985 A135387 A127442 * A114002 A114004 A049986
Adjacent sequences: A115625 A115626 A115627 * A115629 A115630 A115631
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KEYWORD
| nonn,tabf
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AUTHOR
| Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jan 26 2006
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