

A113600


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


1



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
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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^(2n1), 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



