A032549 Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.

1, 2, 3, 4, 5, 6, 51, 102, 105, 153, 156, 207, 210, 258, 261, 312, 315, 2589, 2590, 2601, 2753, 5354, 5355, 5506, 8108, 8259, 8260, 10861, 11013, 11025, 13614, 13615, 13626, 13766, 13778, 16379, 16380, 16531, 33045, 140403, 289065, 1123224

Offset

1,2

Comments

Decimal 'base-7 looking' numbers divided by their actual base-7 values (n) is an integer.

Links

Giovanni Resta, Table of n, a(n) for n = 1..70 (terms < 10^12, first 63 terms from Paolo P. Lava)

Mathematica

Select[Range@ 300000, Mod[ FromDigits[ IntegerDigits[#, 7]], #] == 0 &] (* Giovanni Resta, Oct 21 2019 *)

Crossrefs

Cf. A032548, A032550. See also A032532 for explanation.

Sequence in context: A044908 A024642 A062944 * A028428 A273473 A278941

Adjacent sequences: A032546 A032547 A032548 * A032550 A032551 A032552

Keyword

nonn,base

Author

Patrick De Geest, Apr 15 1998

Extensions

Offset set to 1 by Giovanni Resta, Oct 21 2019

Name edited by Jon E. Schoenfield, Oct 25 2019

Status

approved