|
|
A222816
|
|
Numbers k that divide the base-5 reversal of k.
|
|
2
|
|
|
8, 48, 144, 208, 248, 744, 1008, 1248, 3744, 5008, 5208, 6048, 6248, 18744, 25008, 26208, 30048, 31248, 90144, 93744, 125008, 126008, 130208, 131208, 150048, 151048, 155248, 156248, 450144, 468744, 625008, 631008, 650208, 656208, 750048, 756048, 775248, 781248
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
The base-B reversal of k is obtained by writing k in base B and reversing the order of the digits.
|
|
LINKS
|
N. J. A. Sloane, 2178 And All That, arXiv:1307.0453 [math.NT], 2013; Fib. Quart., 52 (2014), 99-120.
|
|
EXAMPLE
|
8 in base 5 is 13_5; its reverse is 31_5, which is 16 in base 10, and 8 divides 16, so 8 is in the sequence.
|
|
MATHEMATICA
|
Select[Range[10^6], Divisible[s=FromDigits[Reverse@IntegerDigits[#, 5], 5], #]&&s!=#&] (* Giorgos Kalogeropoulos, Aug 20 2021 *)
|
|
PROG
|
(PARI) isok(n) = (rdn = subst(Polrev(digits(n, 5)), x, 5)) && (rdn != n) && (rdn % n) == 0; \\ Michel Marcus, Oct 10 2014
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|