A161020 - OEIS

%I #14 Sep 05 2016 17:36:02

%S 370,407,481,518,592,629,370370,407407,481481,518518,592592,629629,

%T 370370370,407407407,456790123,469135802,481481481,493827160,

%U 506172839,518518518,530864197,543209876,592592592,629629629,370370370370

%N All the non-repdigit terms of A160818.

%C All known terms are multiples of 111/3 = 37.

%C Non-repdigit numbers n such that ((10^A055642(n)-1)/9)*(A007953(n)/A055642(n)) = n. So the sequence is infinite. - _Altug Alkan_, Sep 05 2016

%e For example with 370: (073+037+307+370+703+730)/6 = 370.

%p read("transforms3") ; isrep := proc(n) if nops(convert(convert(n,base,10),set)) = 1 then true; else false; fi; end: a160818 := BFILETOLIST("b160818.txt") ; for i from 1 to 400 do a := op(i,a160818) ; if not isrep(a) then printf("%d,",a) ; fi; od: # _R. J. Mathar_, Jul 04 2009

%Y Cf. A160818, A275772, A275945.

%K base,nonn

%O 1,1

%A _Johan Särnbratt_, Jun 02 2009

%E More terms from _R. J. Mathar_, Jul 04 2009