A032551 - OEIS

A032551

Numbers that, when expressed in base 8 and then interpreted in base 10, yield a multiple of the original number.

0, 1, 2, 3, 4, 5, 6, 7, 34217, 34354, 68582, 68719, 68720, 70525, 70537, 70674, 104891, 104902, 105039, 105040, 106845, 139257, 141211, 141348, 175577, 175714, 177519, 177520, 177668, 211885, 212022, 212034, 213839, 213840, 248205, 248342, 250148

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Decimal 'base-8 looking' numbers divided by their actual base-8 value is an integer.

There are only 37 terms up to 30 million. - Harvey P. Dale, Sep 29 2012

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..52 (first 37 terms from Harvey P. Dale)

EXAMPLE

7 in base 8 is 7, which interpreted in base 10 is 7=1*7.

MATHEMATICA

Join[{0}, Select[Range[300000], Divisible[FromDigits[ IntegerDigits[ #, 8]], #]&]] (* Harvey P. Dale, Sep 29 2012 *)

CROSSREFS

Cf. A032552. See also A032532.

Sequence in context: A004902 A004913 A062945 * A228051 A308071 A030555

Adjacent sequences: A032548 A032549 A032550 * A032552 A032553 A032554

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Apr 15 1998

EXTENSIONS

Edited by N. J. A. Sloane, Jun 07 2008 at the suggestion of Sergio Pimentel

Name edited by Jon E. Schoenfield, Oct 25 2019

STATUS

approved