|
|
A147824
|
|
Minimum number k for which the digital sum of k*n is 4*n.
|
|
3
|
|
|
0, 4, 4, 13, 22, 139, 133, 427, 1111, 1111, 49999, 40909, 49999, 69223, 357142, 1333333, 3124993, 4705294, 11111111, 31578421, 499999999, 238047619, 409090909, 2169565213, 4166666662, 31999999999, 26923076923, 37037037037, 285713928571, 344824137931
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
MAPLE
|
P:=proc(i) local j, k, n, ok, w; for n from 0 by 1 to i do j:=-1; ok:=1; while ok=1 do j:=j+1; w:=0; k:=n*j; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; if w=4*n then ok:=0; print(j); fi; od; od; end: P(100);
|
|
PROG
|
(PARI) a(n) = {my(k = 0); while (sumdigits(k*n) != 4*n, k++); k; }; \\ Michel Marcus, Mar 21 2016
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn,base
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|