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A008481 If n = Product (p_j^k_j) then a(n) = Sum partition(k_j). 2
1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 5, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 7, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 6, 2, 3, 2, 3, 1, 4, 2, 4, 2, 2, 1, 4, 1, 2, 3, 11, 2, 3, 1, 3, 2, 3, 1, 5, 1, 2, 3, 3, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

a(n) is a function of the prime signature of n (cf. A025487). - Matthew Vandermast, Jun 24 2012

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

MATHEMATICA

Prepend[ Array[ Plus @@ (PartitionsP /@ Last[ Transpose[ FactorInteger[ # ] ] ])&, 100, 2 ], 1 ]

CROSSREFS

Sequence in context: A001222 A098893 A069248 * A127669 A056692 A039637

Adjacent sequences:  A008478 A008479 A008480 * A008482 A008483 A008484

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified May 21 03:53 EDT 2013. Contains 225474 sequences.