A113600 Numbers K with 2n digits such that the two n-digit numbers formed by the alternate digits are divisors of K.

11, 12, 15, 22, 24, 33, 36, 44, 48, 55, 66, 77, 88, 99, 1012, 1071, 1100, 1111, 1155, 1188, 1200, 1224, 1275, 1320, 1350, 1400, 1500, 1620, 1664, 1848, 1980, 1995, 2016, 2024, 2079, 2100, 2150, 2184, 2200, 2222, 2310, 2376, 2400, 2448, 2500, 2550, 2640

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1600

Example

130788 is in the sequence because 130788 is divisible by 108 and 378.

Mathematica

addQ[n_]:=Module[{c=FromDigits/@Transpose[Partition[ IntegerDigits[n], 2]], a, b}, a =First[c]; b=Last[c]; a!=0&&b!=0&&And@@Divisible[ n, {a, b}]]; Flatten[Table[Select[Range[10^(2n-1), 10^(2n)-1], addQ], {n, 2}]] (* Harvey P. Dale, Oct 21 2013 *)

Crossrefs

Sequence in context: A292683 A139138 A249766 * A255725 A287442 A255726

Adjacent sequences: A113597 A113598 A113599 * A113601 A113602 A113603

Keyword

base,easy,nonn

Author

Amarnath Murthy, Nov 09 2005

Extensions

Corrected and extended by Matthew Conroy, Dec 18 2005

Status

approved