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A178157 Numbers n that are divisible by every prefix of n. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 12 14:43 EST 2019. Contains 329058 sequences. (Running on oeis4.)