A343810 Numbers that contain only the digits 0,4,8. Permutable multiples of 4: numbers k such that every permutation of the digits of k is a multiple of 4.

0, 4, 8, 40, 44, 48, 80, 84, 88, 400, 404, 408, 440, 444, 448, 480, 484, 488, 800, 804, 808, 840, 844, 848, 880, 884, 888, 4000, 4004, 4008, 4040, 4044, 4048, 4080, 4084, 4088, 4400, 4404, 4408, 4440, 4444, 4448, 4480, 4484, 4488, 4800, 4804

Offset

0,2

Comments

Also permutable multiples of 4: numbers k such that every permutation of the digits of k is a multiple of 4.

Links

Table of n, a(n) for n=0..46.

Formula

a(n) = 4*A007089(n).

Example

480 = 4*120, 408 = 4*102, 840 = 4*210, 804 = 4*201, 048 = 4*12, 084 = 4*21.

Maple

f:= proc(n) local L, i;
  L:= convert(n, base, 3);
  4*add(L[i]*10^(i-1), i=1..nops(L))
end proc:
map(f, [$0..100]); # Robert Israel, Apr 30 2021

Mathematica

FromDigits /@ Tuples[{0, 4, 8}, 4] (* Amiram Eldar, Apr 30 2021 *)

Prog

(PARI) a(n) = fromdigits(digits(n, 3))*4 \\ Rémy Sigrist, May 05 2021

Crossrefs

Cf. A003459, A007089, A008585, A008586, A014263, A061811, A169964.

Sequence in context: A195677 A062753 A062898 * A165458 A009335 A303566

Adjacent sequences: A343807 A343808 A343809 * A343811 A343812 A343813

Keyword

nonn,base,easy

Author

Ctibor O. Zizka, Apr 30 2021

Status

approved