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A308057
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Lexicographically earliest sequence of positive terms such that for any distinct m and n, a(m) + 2*a(m+1) <> a(n) + 2*a(n+1).
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4
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1, 1, 2, 1, 3, 3, 4, 1, 6, 1, 7, 5, 7, 7, 8, 1, 12, 1, 13, 8, 2, 7, 12, 3, 15, 10, 5, 16, 3, 18, 3, 19, 12, 7, 19, 14, 7, 21, 15, 19, 18, 6, 13, 22, 6, 15, 22, 8, 16, 13, 24, 10, 18, 15, 24, 13, 26, 13, 27, 21, 25, 24, 15, 30, 13, 32, 13, 33, 24, 18, 22, 21
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OFFSET
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1,3
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COMMENTS
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The sequence becomes linear after some chaotic initial terms.
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LINKS
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FORMULA
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a[n+72] = a[n] + 24 for any n > 847.
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EXAMPLE
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The first terms, alongside a(n) + 2*a(n+1), are:
n a(n) a(n)+2*a(n+1)
-- ---- -------------
1 1 3
2 1 5
3 2 4
4 1 7
5 3 9
6 3 11
7 4 6
8 1 13
9 6 8
10 1 15
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PROG
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(PARI) s=0; v=1; for(n=1, 72, print1(v", "); for (w=1, oo, if (!bittest(s, x=v+2*w), s+=2^x; v=w; break)))
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CROSSREFS
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See A308058 for the multiplicative variant.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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