A178157 Numbers n that are divisible by every prefix of n.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 40, 44, 48, 50, 55, 60, 66, 70, 77, 80, 88, 90, 99, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 330, 360, 390, 400, 420, 440, 460, 480, 500, 510, 520, 530, 540, 550, 560

Offset

1,2

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Example

3570 is in the sequence because :
   3 | 3570 ;
  35 | 3570 ;
357 | 3570 ;
3570 | 3570.

Maple

with(numtheory):T:=array(1..9):for n from 1 to 10000 do:ind:=0:l:=length(n):n0:=n:s:=0:for
  m from 1 to l do:q:=n0:u:=irem(q, 10):v:=iquo(q, 10):n0:=v :T[m]:=u:od:for i from
  1 to l do: s1:=0:for j from 0 to i-1 do: s1:=s1 + T[l-i+j+1]*10^j :od:if irem(n, s1)=0
  then ind:=ind+1:else fi:od:if ind=l then printf(`%d, `, n):else fi:od:

Crossrefs

Cf. A034837.

Sequence in context: A032520 A034837 A096105 * A246083 A246090 A175782

Adjacent sequences: A178154 A178155 A178156 * A178158 A178159 A178160

Keyword

nonn,base

Author

Michel Lagneau, Dec 17 2010

Status

approved