A190760 Product of digits is divisible by number of digits.

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

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(n-1)+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: A266351 A206718 A343160 * A067036 A119823 A172432

Adjacent sequences: A190757 A190758 A190759 * A190761 A190762 A190763

Keyword

nonn,base,easy

Author

Kyle Stern, May 18 2011

Status

approved