A147825 Minimum number k for which the digital sum of k*n is 5*n.

0, 5, 14, 23, 122, 599, 833, 1427, 9986, 11111, 599999, 590909, 749999, 3769223, 13571357, 53333333, 187499993, 294117647, 1111111111, 3684210521, 149999999999, 37619047619, 590909090909, 391304347826, 2916666666662, 23999999999999, 23076923076923, 37037037037037

Offset

0,2

Links

Chai Wah Wu, Table of n, a(n) for n = 0..39

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=5*n then ok:=0; print(j); fi; od; od; end: P(100);

Prog

(PARI) a(n) = {my(k = 0); while (sumdigits(k*n) != 5*n, k++); k; }; \\ Michel Marcus, Mar 21 2016

Crossrefs

Cf. A147822-A147824, A147826-A147831.

Sequence in context: A017221 A052219 A044057 * A174263 A143057 A063238

Adjacent sequences: A147822 A147823 A147824 * A147826 A147827 A147828

Keyword

easy,nonn,base

Author

Paolo P. Lava and Giorgio Balzarotti, Nov 14 2008

Extensions

Edited by Charles R Greathouse IV, Nov 01 2009

a(11)-a(21) from Donovan Johnson, Sep 16 2012

a(22)-a(27) from Chai Wah Wu, Mar 20 2016

Status

approved