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A085135
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Numbers with all cyclic permutations of digits, highly composite numbers. Terms of A002473 whose all cyclic permutations are also members.
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0
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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, 30, 36, 40, 42, 45, 48, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 108, 200, 243, 300, 324, 400, 405, 432, 450, 486, 500, 504, 540, 567, 600, 648, 675, 700, 756, 800, 810, 864, 900, 1000, 1008, 2000, 3000, 4000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Sequence is infinite with trivial members of the form k*10^r, k = 1 to 9. Conjecture: There are finitely many nontrivial terms (not of the form k*10^r). All the two digit members are the same as that of A085133.
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EXAMPLE
| 243 is a member as 243,432 and 324 all are members of A002473. 243= 3^5, 432= 2^4*3^3,324= 2^2*3^4.
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CROSSREFS
| Cf. A002473, A005349, A085133.
Sequence in context: A064807 A007603 A005349 * A085133 A110806 A180468
Adjacent sequences: A085132 A085133 A085134 * A085136 A085137 A085138
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KEYWORD
| base,nonn
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AUTHOR
| Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jul 06 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jan 28 2005
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