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Search: id:A090623
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| A090623 |
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Triangle of T(n,k)=[n/k]+[n/k^2]+[n/k^3]+[n/k^4]+... for n,k>1. |
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+0
4
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| 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 4, 2, 1, 1, 1, 4, 2, 1, 1, 1, 1, 7, 2, 2, 1, 1, 1, 1, 7, 4, 2, 1, 1, 1, 1, 1, 8, 4, 2, 1, 1, 1, 1, 1, 1, 8, 4, 2, 1, 1, 1, 1, 1, 1, 1, 10, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 10, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 6, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1
(list; table; graph; listen)
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OFFSET
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2,4
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FORMULA
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For p prime, T(n, p)=A090622(n, p) is number of times p is a factor of n!.
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EXAMPLE
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Rows start: 1; 1,1; 3,1,1; 3,1,1,1; 4,2,1,1,1; 4,2,1,1,1,1; 7,2,2,1,1,1,1; 7,4,2,1,1,1,1,1; 8,4,2,1,1,1,1,1,1; etc.
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CROSSREFS
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Rows include A011371, A054861, A054893, A027868, A054895, A054896, A054897, A054898, A054899, A064458, A064459, A090620, A054900.
Adjacent sequences: A090620 A090621 A090622 this_sequence A090624 A090625 A090626
Sequence in context: A076498 A110268 A058965 this_sequence A098094 A087283 A111625
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Dec 06 2003
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