A082757 Possible integer ratios of A/B, where A and B have no 0 in their decimal representation, all decimal digits of A and B are different and each digit is used only once.

2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 26, 27, 28, 29, 32, 35, 37, 38, 43, 44, 46, 52, 53, 59, 62, 66, 68, 134, 143, 148, 152, 155, 163, 164, 168, 173, 176, 178, 182, 185, 188, 194, 197, 198, 203, 206, 212, 215, 224, 225, 227

Offset: 1

Author

Leonid Broukhis, May 21 2003

Keywords

• base
• easy
• fini
• nonn

Comments

The sequence has 179540 terms, the last being 98765432. - Giovanni Resta, Mar 21 2013

Examples

			13458 / 6729 = 2
17469 / 5823 = 3
15768 / 3942 = 4
...
98765432 / 1 = 98765432
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..10000

Programs

Mathematica

f[w_] := Select[Floor[w/10^#]/Mod[w, 10^#] & /@ {1,2,3,4}, IntegerQ]; seq = Union[Flatten[f /@ (FromDigits /@ Permutations[ Range@9])]]; Length[seq] (* Giovanni Resta, Mar 21 2013 *)

Extensions

a(37)-a(60) from Giovanni Resta, Mar 21 2013