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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 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: A321104 A127442 A357524 * 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 March 21 23:08 EDT 2023. Contains 361412 sequences. (Running on oeis4.)