A062925 Numbers k that, when expressed in base 4 and then interpreted in base 9, give a multiple of k.

0, 1, 2, 3, 5, 10, 15, 25, 75, 100, 125, 355, 435, 500, 1775, 2415, 3675, 5825, 9660, 14700, 17074, 20786, 22382, 23300, 27300, 79716, 83144, 87087, 97860, 103930, 125460, 172105, 331275, 332576, 348348, 415720, 1325100, 1330304, 1531980

Offset

1,3

Links

Georg Fischer, Table of n, a(n) for n = 1..53 [First 45 terms from Harry J. Smith]

Example

5 in base 4 is 11, which interpreted in base 9 is 10 = 2*5.

Mathematica

Join[{0}, Select[Range[1540000], Divisible[FromDigits[IntegerDigits[#, 4], 9], #]&]] (* Harvey P. Dale, Sep 03 2021 *)

Prog

(PARI) select(n->n==0 || fromdigits(digits(n, 4), 9) % n == 0, [0..100000]) \\ Andrew Howroyd, Jun 28 2018

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062928, A062929, A062930, A062931, A062934, A062937, A062939, A062942, A062943, A062944.

Sequence in context: A252659 A004691 A133335 * A118728 A062860 A024369

Adjacent sequences: A062922 A062923 A062924 * A062926 A062927 A062928

Keyword

base,nonn

Author

Erich Friedman, Jul 21 2001

Extensions

More terms from Naohiro Nomoto, Aug 06 2001

Offset changed to 1 by Georg Fischer, Mar 13 2023

Status

approved