A062847 When expressed in base 2 and then interpreted in base 6, is a multiple of the original number.

0, 1, 2, 4, 6, 8, 12, 16, 24, 32, 36, 48, 64, 66, 72, 96, 128, 132, 144, 174, 186, 192, 216, 252, 256, 264, 288, 348, 372, 384, 396, 432, 462, 504, 512, 528, 576, 696, 744, 768, 792, 864, 924, 1008, 1024, 1056, 1152, 1296, 1392, 1488, 1512, 1536, 1584, 1728

Offset

1,3

Comments

There are only five odd terms of the sequence that are less than 10^7, namely 1, 12025, 233285, 863395 and 9545429. - Dimiter Skordev, Feb 02 2020

Links

Dimiter Skordev, Table of n, a(n) for n = 1..550 (terms less than 10^7)

Dimiter Skordev, Python script

Example

12 in base 2 is 1100, which interpreted in base 6 is 252=21*12.

Prog

(PARI) isok(n) = (n==0) || ((fromdigits(digits(n, 2), 6) % n) == 0); \\ Michel Marcus, Feb 01 2020
(Magma) [0] cat [k:k in [1..1750]|Seqint(Intseq(Seqint(Intseq(k, 2))), 6) mod k eq 0]; // Marius A. Burtea, Feb 02 2020

Crossrefs

Cf. (with base 2 and b): A062845 (b=3), A062846 (b=4), A331841 (b=5), A062848 (b=7), A062849 (b=8), A062850 (b=9), A032533 (b=10).

Sequence in context: A070175 A096850 A250270 * A001013 A115746 A025610

Adjacent sequences: A062844 A062845 A062846 * A062848 A062849 A062850

Keyword

base,nonn

Author

Erich Friedman, Jul 21 2001

Status

approved