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Search: id:A048620
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| A048620 |
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Maximal value of p(C(n,k)) over k, where p()=A001222 = number of prime factors counted with multiplicity. |
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+0
2
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| 0, 1, 1, 2, 2, 3, 2, 4, 4, 5, 4, 6, 5, 6, 5, 7, 6, 8, 6, 8, 8, 8, 6, 9, 9, 9, 10, 11, 10, 11, 9, 12, 12, 12, 11, 14, 13, 13, 11, 14, 12, 14, 12, 13, 14, 15, 12, 15, 15, 15, 14, 16, 14, 17, 15, 17, 17, 16, 14, 17, 15, 16, 14, 19, 18, 20, 18, 18, 18, 20, 17, 20, 19, 19, 19, 20, 19, 21
(list; graph; listen)
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OFFSET
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1,4
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EXAMPLE
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n=24: the sums of prime factor exponents when k runs from 0 to 24 are {0,4,4,5,5,7,6,8,6,8,8,9,7,9,8,8,6,8,6,7,5,5,4,4,0}. The maximum is 9, so a(24)=9.
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CROSSREFS
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A001222, A001221, A046660, A048273, A048275.
Sequence in context: A007897 A106289 A165418 this_sequence A165419 A117660 A144369
Adjacent sequences: A048617 A048618 A048619 this_sequence A048621 A048622 A048623
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu)
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