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A061362 Numbers in which each nonzero digit divides the number formed by the rest, i.e., the number obtained by just removing this digit. 0 is divisible by every number. 1
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 22, 30, 33, 40, 44, 50, 55, 60, 66, 70, 77, 80, 88, 90, 99, 100, 101, 102, 105, 110, 111, 120, 122, 124, 126, 142, 150, 155, 162, 168, 186, 200, 202, 204, 210, 220, 222, 240, 244, 248, 250, 284, 300, 303, 306, 324, 330, 333 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..1000

EXAMPLE

142 is a member as 1 divides 42, 2 divides 14 and 4 divides 12.

MATHEMATICA

ddnQ[n_]:=Module[{idn=IntegerDigits[n], nz, len, tr}, nz=Select[idn, #!=0&]; len = Length[idn]; tr=Table[FromDigits[Drop[idn, {i}]], {i, len}]; And@@ Table[ Divisible[ tr[[k]], nz[[k]]], {k, Length[nz]}]]; Select[Range[400], ddnQ] (* Harvey P. Dale, Jun 29 2015 *)

PROG

(PARI) { n=-1; for (m=1, 20080, for (i=0, 10^10, b=10^i; x=(m\b)*b; y=m-x; x=x\b; d=x%10; x=b*(x\10); if (d==0, d=1); if ((x+y)%d != 0, break); if (x==0, write("b061362.txt", n++, " ", m); break); ) ) } \\ Harry J. Smith, Jul 21 2009

CROSSREFS

Sequence in context: A334145 A190220 A113586 * A096091 A084050 A281625

Adjacent sequences:  A061359 A061360 A061361 * A061363 A061364 A061365

KEYWORD

nonn,base,easy

AUTHOR

Amarnath Murthy, Jun 26 2001

EXTENSIONS

Corrected and extended by Dean Hickerson, Jul 10 2001

STATUS

approved

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Last modified August 9 12:53 EDT 2020. Contains 336323 sequences. (Running on oeis4.)