OFFSET
1,1
FORMULA
Positive integers n such that A195860(n)=12.
EXAMPLE
420^1=420 is multiple of Sum_digits(420)=6
420^2=176400 is multiple of Sum_digits(176400)=18
etc. till
420^11=71736832111046860800000000000 is multiple of Sum_digits(71736832111046860800000000000)=72
while
420^12=30129469486639681536000000000000 is not multiple of Sum_digits(30129469486639681536000000000000)=99
MAPLE
readlib(log10); P:=proc(n, m) local a, i, k, w, x, ok; for i from 1 by 1 to n do a:=simplify(log10(i)); if not (trunc(a)=a) then ok:=1; x:=1; while ok=1 do w:=0; k:=i^x; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; if trunc(i^x/w)=i^x/w then x:=x+1; else if x-1=m then print(i); fi; ok:=0; fi; od; fi; od; end: P(15000, 11);
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Paolo P. Lava and Giorgio Balzarotti, Nov 23 2007
EXTENSIONS
Terms a(9) onward from Max Alekseyev, Sep 24 2011
STATUS
approved