A180478 Numbers n such that r*n/k is an integer. n=(x_1 x_2 ... x_r) where x_i are digits of n, k = x_1 * x_2 * ... * x_r.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 21, 22, 24, 25, 36, 48, 63, 111, 112, 113, 115, 116, 128, 131, 132, 135, 144, 175, 192, 195, 212, 216, 224, 232, 311, 312, 315, 333, 371, 384, 416, 432, 612, 624, 672, 735, 816, 832, 912, 915

Offset

1,2

Comments

A007602 is a subsequence of this sequence.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

n=135, r=3, 3*135/1*3*5=27, n=135 belongs to the sequence.

Mathematica

Select[Range[1000], DigitCount[#, 10, 0]==0&&IntegerQ[(IntegerLength[#]#)/ Times@@ IntegerDigits[#]]&] (* Harvey P. Dale, Nov 04 2019 *)

Crossrefs

Cf. A007602

Sequence in context: A033108 A049811 A124097 * A062461 A178843 A252996

Adjacent sequences: A180475 A180476 A180477 * A180479 A180480 A180481

Keyword

base,easy,nonn

Author

Ctibor O. Zizka, Sep 07 2010

Status

approved