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A115628 Factorization of n! into primorials. 1
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; text; internal format)
OFFSET

2,4

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)).

LINKS

Table of n, a(n) for n=2..105.

FORMULA

T(n, k) = A115727(n, k)-A115727(n, k+1).

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.

CROSSREFS

Cf. A115627, A000142, A002110. Row lengths are A000720.

Sequence in context: A135387 A321104 A127442 * A114002 A114004 A306518

Adjacent sequences:  A115625 A115626 A115627 * A115629 A115630 A115631

KEYWORD

nonn,tabf

AUTHOR

Franklin T. Adams-Watters, Jan 26 2006

STATUS

approved

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Last modified August 21 06:14 EDT 2019. Contains 326162 sequences. (Running on oeis4.)