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%I A343810 #15 May 07 2021 01:06:55
%S A343810 0,4,8,40,44,48,80,84,88,400,404,408,440,444,448,480,484,488,800,804,
%T A343810 808,840,844,848,880,884,888,4000,4004,4008,4040,4044,4048,4080,4084,
%U A343810 4088,4400,4404,4408,4440,4444,4448,4480,4484,4488,4800,4804
%N 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.
%C A343810 Also permutable multiples of 4: numbers k such that every permutation of the digits of k is a multiple of 4.
%F A343810 a(n) = 4*A007089(n).
%e A343810 480 = 4*120, 408 = 4*102, 840 = 4*210, 804 = 4*201, 048 = 4*12, 084 = 4*21.
%p A343810 f:= proc(n) local L,i;
%p A343810   L:= convert(n,base,3);
%p A343810   4*add(L[i]*10^(i-1),i=1..nops(L))
%p A343810 end proc:
%p A343810 map(f, [$0..100]); # _Robert Israel_, Apr 30 2021
%t A343810 FromDigits /@ Tuples[{0, 4, 8}, 4] (* _Amiram Eldar_, Apr 30 2021 *)
%o A343810 (PARI) a(n) = fromdigits(digits(n, 3))*4 \\ _Rémy Sigrist_, May 05 2021
%Y A343810 Cf. A003459, A007089, A008585, A008586, A014263, A061811, A169964.
%K A343810 nonn,base,easy
%O A343810 0,2
%A A343810 _Ctibor O. Zizka_, Apr 30 2021

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