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a(n) = |a(n-1) - a(m)| for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 3.
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%I #13 May 16 2020 03:34:47

%S 1,2,3,2,0,1,1,2,0,1,1,2,0,0,1,0,2,1,1,2,0,0,1,0,2,2,1,0,2,2,2,1,1,0,

%T 2,1,1,1,0,1,1,1,0,1,1,1,1,0,0,2,1,0,2,2,2,1,1,1,1,0,0,2,0,2,1,0,2,1,

%U 1,1,0,1,1,1,0,1,1,1,1,0,0,2,1,0,2,2,2,1,1,1

%N a(n) = |a(n-1) - a(m)| for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 3.

%o (PARI) lista(nn) = {nn = max(nn, 3); my(va = vector(nn)); va[1] = 1; va[2] = 2; va[3] = 3; for(n=4, nn, va[n] = abs(va[n-1] - va[n - 1 - 2^logint(n-2, 2)])); va; } \\ _Petros Hadjicostas_, May 15 2020

%K nonn

%O 1,2

%A _Clark Kimberling_

%E Name edited by _Petros Hadjicostas_, May 16 2020