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Search: id:A075377
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| A075377 |
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Triangle read by rows in which n-th row gives all values of n!/{(p!)^a*(q!)^b*(r!)^c*...} (in increasing order) for all factorizations n = p^a*q^b*r^c*.... |
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+0
1
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| 1, 1, 1, 1, 6, 1, 1, 60, 1, 1, 840, 5040, 1, 10080, 1, 15120, 1, 1, 332640, 3326400, 19958400, 1, 1, 8648640, 1, 1816214400, 1, 259459200, 36324288000, 217945728000, 1307674368000, 1, 1, 8821612800, 1482030950400, 88921857024000, 1, 1
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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This is a modification of A036038.
A001055 gives the row lengths. - David Wasserman (dwasserm(AT)earthlink.net), Jan 17 2005
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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.
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LINKS
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M. L. Perez et al., eds., Smarandache Notions Journal
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EXAMPLE
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The row for n = 12 is: 1, 332640, 3326400, 19958400, since 12 = 12, 6*2, 4*3, 3*2*2.
Triangle begins:
1
1
1
1 6
1
1 60
1
1 840 5040
1 10080
1 15120
1
1 332640 3326400 19958400
1
1 8648640
1 1816214400
1 259459200 36324288000 217945728000 1307674368000
1
1 8821612800 1482030950400 88921857024000
1
1 335221286400 844757641728000 5068545850368000
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CROSSREFS
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Cf. A036038.
Cf. A001055, A036038.
Sequence in context: A022169 A058875 A015117 this_sequence A046792 A111825 A085552
Adjacent sequences: A075374 A075375 A075376 this_sequence A075378 A075379 A075380
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KEYWORD
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tabf,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 21 2002
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EXTENSIONS
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More terms from David Wasserman (dwasserm(AT)earthlink.net), Jan 17 2005
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