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A069016
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Number of distinct sums of factorizations of n.
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0
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1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 1, 4, 1, 3, 2, 2, 1, 5, 2, 2, 3, 3, 1, 5, 1, 4, 2, 2, 2, 7, 1, 2, 2, 5, 1, 5, 1, 3, 4, 2, 1, 8, 2, 4, 2, 3, 1, 7, 2, 5, 2, 2, 1, 9, 1, 2, 4, 6, 2, 5, 1, 3, 2, 5, 1, 10, 1, 2, 4, 3, 2, 5, 1, 8, 5, 2, 1, 8, 2, 2, 2, 5, 1, 10, 2, 3, 2, 2, 2, 12, 1, 4, 4, 7, 1, 5, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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REFERENCES
| Amarnath Murthy, Generalization of Partition Function and Introducing Smarandache Factor Partitions, Smarandache Notions Journal, Vol. 11, 1-2-3. Spring 2000.
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LINKS
| M. L. Perez et al., eds., Smarandache Notions Journal
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EXAMPLE
| The factorizations of 30 are (2,3,5), (2,15), (3,10), (5,6) and (30), which have the 5 distinct sums 10, 17, 13, 11 and 30. Hence a(30) = 5.
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CROSSREFS
| Cf. A034891.
Sequence in context: A118824 A082641 A138553 * A071414 A067148 A035228
Adjacent sequences: A069013 A069014 A069015 * A069017 A069018 A069019
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 01 2002
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EXTENSIONS
| Edited by David W. Wilson, May 27, 2002
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