login
A085135
Numbers whose cyclic permutations are all 7-smooth (A002473).
0
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.
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
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