A123700 - OEIS

%I #7 Jun 17 2022 03:23:35

%S 1,2,3,4,10,25,37,61,64,173,100,1020,1565,1595,2323,3013,3771,11838,

%T 9266,30407,56267,46865,117612,143083,216156,412555,413711,818330,

%U 1846411,2432526,2094521,6909827,15457515,12960133,40274514,30277528,53521510,171018877,81281761

%N Smallest m such that A123699(m) = n.

%C In base n representation of a(n) all digits are distinct; this is not the case in all base b representations where b is smaller than n. And for numbers m that are smaller than a(n) exists at least one b such that in base b representation of m all digits are distinct.

%H Michael S. Branicky, <a href="/A123700/b123700.txt">Table of n, a(n) for n = 1..45</a>

%e a(16)=3013 = 101111000101 [b=2] = 11010121 [b=3] = 233011 [b=4] = 44023 [b=5] = 21541 [b=6] = 11533 [b=7] = 5705 [b=8] = 4117 [b=9] = 3013 [b=10] = 229A [b=11] = 18B1 [b=12] = 14AA [b=13] = 1153 [b=14] = D5D [b=15] = BC5 [b=16] distinct digits.

%K nonn,base

%O 1,2

%A _Reinhard Zumkeller_, Oct 09 2006

%E a(37) and beyond from _Michael S. Branicky_, Jun 16 2022