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A086436 Maximum number of parts possible in a factorization of n. +0
6
1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, 3, 1, 4, 2, 4, 2, 2, 1, 4, 1, 2, 3, 6, 2, 3, 1, 3, 2, 3, 1, 5, 1, 2, 3, 3, 2, 3, 1, 5, 4, 2, 1, 4, 2, 2, 2, 4, 1, 4, 2, 3, 2, 2, 2, 6, 1, 3, 3, 4, 1, 3 (list; graph; listen)
OFFSET

1,4

LINKS

Eric Weisstein's World of Mathematics, Unordered Factorization

EXAMPLE

a(6)=2 since 6 may be factored as {{2,3},{6}}, so the largest number of factors possible is 2.

a(8)=3 since 8 may be factored as {{8},{2,2,2},{2,4}}, so the largest numbers of factors possible is 3.

PROGRAM

(Mupad) numlib::Omega (n)$ n=1..102 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 13 2008

CROSSREFS

Essentially the same as A001222.

Sequence in context: A125030 A116479 A122810 this_sequence A001222 A098893 A069248

Adjacent sequences: A086433 A086434 A086435 this_sequence A086437 A086438 A086439

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jul 19, 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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