|
| |
|
|
A096091
|
|
k such that f(k) mod g(k) = 0, where f(k) = largest number formed using digits of k, g(k) = smallest number formed using digits of k.
|
|
2
| |
|
|
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 22, 30, 33, 40, 44, 50, 55, 60, 66, 70, 77, 80, 88, 90, 99, 100, 110, 111, 200, 220, 222, 300, 330, 333, 400, 440, 444, 500, 510, 540, 550, 555, 600, 660, 666, 700, 770, 777, 800, 810, 880, 888, 900, 990, 999, 1000, 1001, 1100
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| All palindromes are trivial members. N = d*10^m*(10^n-1)/9 is a member for all m, n where 1 < d < 10. And one gets f(N)/g(N) = 10^m. e.g. for d= 7 m = 4, n = 8 we get N = 777777770000. Conjecture: There are infinitely many terms other than these.
|
|
|
EXAMPLE
| 110 is a member as 110/011=10.
|
|
|
MATHEMATICA
| f[n_] := Block[{p = FromDigits /@ Permutations[IntegerDigits[n]]}, Mod[ p[[1]], p[[ -1]] ]]; Select[ Range[1111], f[ # ] == 0 &] (from Robert G. Wilson v Jun 23 2004)
|
|
|
CROSSREFS
| Cf. A096089, A096090.
Sequence in context: A061917 A125289 A180482 * A193460 A055933 A188650
Adjacent sequences: A096088 A096089 A096090 * A096092 A096093 A096094
|
|
|
KEYWORD
| base,nonn
|
|
|
AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 22 2004
|
|
|
EXTENSIONS
| Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 23 2004
|
| |
|
|
