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A056218
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If n = p_1^a_1 * p_2^a_2 * p_3^a_3 * ..., where p_k is the k-th prime and the a's are nonnegative integers, then the n-th term = n!/product_{k >= 1} [(p_k)!^a_k].
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1
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1, 1, 1, 1, 6, 1, 60, 1, 5040, 10080, 15120, 1, 19958400, 1, 8648640, 1816214400, 1307674368000, 1, 88921857024000, 1, 5068545850368000, 1689515283456000, 14079294028800, 1, 12926008369442488320000, 1077167364120207360000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| Amarnath Murthy, Generalization of partition function and introducing Smarandache Factor Partition, Smarandache Notions Journal, Vol. 11, 2000.
Amarnath Murthy, Length and extent of Smarandache Factor Partition, Smarandache Notions Journal, Vol. 11, 2000.
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LINKS
| M. L. Perez et al., eds., Smarandache Notions Journal
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EXAMPLE
| a(6) = 6!/(2! *3!) =720/(2 *6) = 60 because 2 * 3 is prime factorization of 6.
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CROSSREFS
| Sequence in context: A049213 A165886 A174502 * A197655 A134279 A134280
Adjacent sequences: A056215 A056216 A056217 * A056219 A056220 A056221
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KEYWORD
| easy,nonn
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AUTHOR
| Leroy Quet Aug 05 2000
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