A085135 Numbers with all cyclic permutations of digits, highly composite numbers. Terms of A002473 all of whose cyclic permutations are also terms.

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

Offset

1,2

Comments

Sequence is infinite with trivial terms 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 terms are the same as those of A085133.

Links

Table of n, a(n) for n=1..61.

Example

243 is a term as 243, 432 and 324 all are terms of A002473. 243 = 3^5, 432 = 2^4*3^3, 324 = 2^2*3^4.

Crossrefs

Cf. A002473, A005349, A085133.

Sequence in context: A225782 A235507 A235697 * A085133 A308560 A285815

Adjacent sequences: A085132 A085133 A085134 * A085136 A085137 A085138

Keyword

base,nonn

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 06 2003

Extensions

More terms from David Wasserman, Jan 28 2005

Status

approved