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

Author

Ctibor O. Zizka, Apr 30 2021

Keywords

• nonn
• base
• easy

Comments

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

Examples

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

Crossrefs

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

Programs

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 *)

PARI

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

Formula

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