

A190760


Product of digits is divisible by number of digits.


1



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 36, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 54, 56, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 74, 76, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 94, 96, 98, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 113, 116, 119
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


COMMENTS

Almost all numbers are in this sequence: there are at least n  1.125 n^0.95... elements up to n, where the exponent is log(9)/log(10).  Charles R Greathouse IV, May 20 2011


LINKS

Nathaniel Johnston, Table of n, a(n) for n = 1..10000


EXAMPLE

3*8*2 = 48 and 48 is divisible by the number of digits, 3, so 382 is included.


MAPLE

A190760 := proc(n) option remember: local k: if(n=1)then return 0: fi: for k from procname(n1)+1 do if(mul(d, d=convert(k, base, 10)) mod length(k) = 0)then return k: fi: od: end: seq(A190760(n), n=1..100); # Nathaniel Johnston, May 19 2011


CROSSREFS

Cf. A007954, A055642, A061383.
Sequence in context: A096868 A266351 A206718 * A067036 A119823 A172432
Adjacent sequences: A190757 A190758 A190759 * A190761 A190762 A190763


KEYWORD

nonn,base,easy


AUTHOR

Kyle Stern, May 18 2011


STATUS

approved



