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Search: id:A080688
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| A080688 |
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Resort the index of A064553 using A080444 and maintaining ascending order within each grouping. |
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+0
4
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| 1, 2, 3, 4, 5, 7, 6, 11, 13, 8, 10, 17, 9, 19, 14, 23, 29, 12, 15, 22, 31, 37, 26, 41, 21, 43, 16, 20, 25, 34, 47, 53, 18, 33, 38, 59, 61, 28, 35, 46, 67, 39, 71, 58, 73, 79, 24, 30, 44, 51, 55, 62, 83
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The number 12 can be written as 3*2*2, 4*3, 6*2, and 12 corresponding to each of the four values (12,15,22,31) in the example. Note that A001055(12) = 4. Since A001055(n) depends only on the least prime signature, the values 1,2,4,6,8,12,16,24,30,32,36,... A025487 are of special interest when counting multisets. (see for example, A035310 and a035341).
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EXAMPLE
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a(18),a(19),a(20) and a(21) are 12,15,22 and 31 because A064553(12,15,22,31) = (12,12,12,12) similarly, A064553(36,45,66,76,93,95,118,121,149) = (36,36,36,36,36,36,36,36,36)
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CROSSREFS
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Cf. A001055, A025487, A035310, A035341, A064553, A080444.
Sequence in context: A066937 A120750 A023826 this_sequence A082025 A076034 A034152
Adjacent sequences: A080685 A080686 A080687 this_sequence A080689 A080690 A080691
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KEYWORD
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easy,more,nonn
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Mar 23 2003
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