A186436 Smallest number that equals n times its last digit, or 0 if no such number exists.

1, 0, 15, 0, 25, 12, 35, 0, 45, 0, 11, 0, 65, 0, 75, 32, 85, 0, 95, 0, 21, 0, 115, 0, 125, 52, 135, 0, 145, 0, 31, 0, 165, 0, 175, 72, 185, 0, 195, 0, 41, 0, 215, 0, 225, 92, 235, 0, 245, 0, 51, 0, 265, 0, 275, 112, 285, 0, 295, 0, 61, 0, 315, 0, 325, 132, 335, 0, 345, 0, 71, 0

Offset

1,3

Links

Table of n, a(n) for n=1..72.

Example

a(7) = 35 because last digit of 35 is 5 and 7*5 = 35, and there is no number < 35 that satisfies the condition.

Maple

with(numtheory):for k from 1 to 100 do:id:=0:for n from 1 to 2000 while(id=0)
  do:x:=irem(n, 10):if n=k*x then n0:=n:id:=1:else fi:od:if id=1 then printf(`%d,
  `, n0):else printf(`%d, `, 0):fi:od:

Prog

(Magma) A186436:=function(n); for j in [1..9] do a:=n*j; if j eq Intseq(a)[1] then return a; end if; end for; return 0; end function; [ A186436(n): n in [1..100] ]; // Klaus Brockhaus, Feb 22 2011

Crossrefs

Sequence in context: A067154 A187486 A141027 * A054670 A277929 A303231

Adjacent sequences: A186433 A186434 A186435 * A186437 A186438 A186439

Keyword

nonn,easy,base

Author

Michel Lagneau, Feb 21 2011

Status

approved