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A077565
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Number of factorizations into parts with distinct prime signature.
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3
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1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 3, 1, 1, 1, 4, 1, 1, 2, 3, 1, 4, 1, 3, 1, 1, 1, 3, 1, 1, 1, 4, 1, 4, 1, 3, 3, 1, 1, 6, 1, 3, 1, 3, 1, 4, 1, 4, 1, 1, 1, 5, 1, 1, 3, 4, 1, 4, 1, 3, 1, 4, 1, 7, 1, 1, 3, 3, 1, 4, 1, 6, 2, 1, 1, 5, 1, 1, 1, 4, 1, 5, 1, 3, 1, 1, 1, 9, 1, 3, 3, 3, 1, 4, 1, 4, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,8
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REFERENCES
| Amarnath Murthy, Generalization of partition function. Introducing Smarandache Factor Partition. Smarandache Notions Journal, Vol. 11, 1-2-3,2000.
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EXAMPLE
| a(24) = 4, 24 = 12*2 = 8*3 = 6*4. The partitions 2*3*4, 2*2*2*3 etc. are not counted.
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CROSSREFS
| Cf. A077563, A077564, A077566.
Sequence in context: A204988 A160267 A115621 * A115561 A115622 A108886
Adjacent sequences: A077562 A077563 A077564 * A077566 A077567 A077568
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 11 2002
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EXTENSIONS
| Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 26 2003
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