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

Author

Erich Friedman, Jul 21 2001

Keywords

• base
• nonn

Examples

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

Links

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

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.

Programs

Mathematica

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

PARI

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

Extensions

More terms from Naohiro Nomoto, Aug 06 2001

Offset changed to 1 by Georg Fischer, Mar 13 2023