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Search: id:A056218
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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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2
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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; listen)
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OFFSET
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0,5
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REFERENCES
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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
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Leroy Quet, Home Page (listed in lieu of email address)
M. L. Perez et al., eds., Smarandache Notions Journal
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EXAMPLE
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a(6) = 6!/(2! *3!) =720/(2 *6) = 60 because 2 * 3 is prime factorization of 6.
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CROSSREFS
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Sequence in context: A083837 A049213 A165886 this_sequence A134279 A134280 A134278
Adjacent sequences: A056215 A056216 A056217 this_sequence A056219 A056220 A056221
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KEYWORD
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easy,nonn
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AUTHOR
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Leroy Quet Aug 05 2000
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