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Search: id:A077570
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| 1, 2, 4, 14, 16, 44, 64, 182, 292, 560, 1024, 2276, 4096, 8384, 16528, 33698, 65536, 132308, 262144, 526496, 1049152, 2100224, 4194304, 8398028, 16778512, 33566720, 67112068, 134244992, 268435456, 536927984, 1073741824, 2147591558
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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1. There are SFP(n) different prime signatures possible which yield numbers having n divisors, where SFP (n) is the Smarandache Factor Partition of n.(. The number of factorizations as product of divisors). 2. If a*b*c... is a factorization of n then the corresponding prime signature is p^(a-1)*q^(b-1)*r^(c-1)... etc. 3. The corresponding term of the n-th array is obtained by arranging a>b>c... and p<q<r.. i.e. p = 2, q = 3 and r= 5 etc.
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REFERENCES
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Amarnath Murthy, Generalization of partition function, Introducing Smarandache Factor Partition, Smarandache Notions Journal, Vol. 11, 2000.
Amarnath Murthy, A note on Smarandache Divisor Sequence. Smarandache Notions Journal, Vol. 11, 2000.
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EXAMPLE
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a(8) = 24 + 30 + 128 = 182.
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CROSSREFS
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Cf. A077569.
Sequence in context: A095909 A087420 A054600 this_sequence A032398 A032309 A008519
Adjacent sequences: A077567 A077568 A077569 this_sequence A077571 A077572 A077573
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 11 2002
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 12 2003
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