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A062944
Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.
11
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 *)
KEYWORD
base,nonn
AUTHOR
Erich Friedman, Jul 21 2001
EXTENSIONS
Offset changed to 1 by Georg Fischer, Mar 13 2023
STATUS
approved