A062944 Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.

0, 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

Offset

1,3

Comments

Zero followed by A032549. [From R. J. Mathar, Oct 02 2008]

There are only 47 terms up to 10 million, the largest of which is 7581525. - Harvey P. Dale, Jul 09 2016

Links

Georg Fischer, Table of n, a(n) for n = 1..64 [First 47 terms from Harvey P. Dale]

Example

51 in base 7 is 102, which interpreted in base 10 is 102=2*51

Mathematica

Join[{0}, Select[Range[35000], Divisible[FromDigits[IntegerDigits[ #, 7]], #]&]] (* Harvey P. Dale, Jul 09 2016 *)

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062929, A062930, A062931, A062934, A062937, A062939, A062942, A062943.

Sequence in context: A171594 A044908 A024642 * A032549 A028428 A273473

Adjacent sequences: A062941 A062942 A062943 * A062945 A062946 A062947

Keyword

base,nonn

Author

Erich Friedman, Jul 21 2001

Extensions

Offset changed to 1 by Georg Fischer, Mar 13 2023

Status

approved