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A049950
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a(n) = a(1) + a(2) + ... + 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), with a(1) = 1, a(2) = 2, and a(3) = 1.
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0
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1, 2, 1, 5, 11, 21, 43, 85, 174, 344, 689, 1377, 2758, 5522, 11054, 22130, 44302, 88520, 177041, 354081, 708166, 1416338, 2832686, 5665394, 11330830, 22661749, 45323668, 90647681, 181296050, 362593481, 725189726, 1450384984
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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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s := proc(n) option remember; `if`(n < 1, 0, a(n) + s(n - 1)); end proc;
a := proc(n) option remember; `if`(n < 4, [1, 2, 1][n], s(n - 1) + a(-2^ceil(log[2](n - 1) - 1) + n - 1)); end proc;
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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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