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A050074
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a(n) = |a(n-1) - a(m)| for n >= 4, where m = 2^(p+1) + 2 - n 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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0
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1, 2, 3, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0
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OFFSET
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1,2
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LINKS
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MAPLE
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a := proc(n) option remember;
`if`(n < 4, [1, 2, 3][n], abs(a(n - 1) - a(Bits:-Iff(n - 2$2) + 3 - n)))
end:
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PROG
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(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[2 - n + 2*2^logint(n-2, 2)])); va; } \\ Petros Hadjicostas, May 15 2020
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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