A223090 Numbers n with the property that if the base-8 representation of n is read backwards, the result is an integral multiple of n.

21, 189, 525, 567, 1134, 1365, 1533, 4599, 4725, 9198, 10773, 12285, 34125, 36855, 38325, 73710, 86037, 87381, 96957, 98301, 269325, 294903, 307125, 589806, 688149, 700245, 774333, 786429, 2150925, 2184525, 2322999, 2359287, 2423925, 2457525, 4645998, 4718574, 5505045, 5515797, 5592405, 5603157, 6193341, 6204093, 6280701, 6291453

Offset

1,1

Comments

A217742 is a subsequence.

The multiples that occur are 2, 3, 5, 7 (cf. A222817-A222820).

Links

Table of n, a(n) for n=1..44.

Example

n = 525 (base 10) = 1015 (base 8). Reading this backwards we get 5101 (base 8) = 2625 (base 10) = 5*n, so 525 is in the sequence.

Mathematica

b8rQ[n_]:=Module[{c=FromDigits[Reverse[IntegerDigits[n, 8]], 8]}, c/n>1 && IntegerQ[c/n]]; Select[Range[63*10^5], b8rQ] (* Harvey P. Dale, Sep 18 2016 *)

Crossrefs

Cf. A214927, A217742, A223089, A222817-A222820.

Sequence in context: A274655 A274653 A376902 * A010827 A022713 A163718

Adjacent sequences: A223087 A223088 A223089 * A223091 A223092 A223093

Keyword

nonn,base

Author

N. J. A. Sloane, Mar 23 2013

Status

approved