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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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3
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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, 49, 89, 74, 97, 27, 57, 101, 52, 65, 82
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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
| 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
| Cf. A001055, A025487, A035310, A035341, A064553, A080444.
Sequence in context: A185975 A023826 A185969 * A082025 A076034 A034152
Adjacent sequences: A080685 A080686 A080687 * A080689 A080690 A080691
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KEYWORD
| easy,nonn
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Mar 23 2003
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EXTENSIONS
| More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 05 2011
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