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A049910
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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), starting with a(1) = 1, a(2) = 2, and a(3) = 3.
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3
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1, 2, 3, 5, 9, 19, 37, 73, 144, 292, 583, 1165, 2328, 4652, 9294, 18570, 37104, 74280, 148559, 297117, 594232, 1188460, 2376910, 4753802, 9507568, 19015065, 38029982, 76059673, 152118764, 304236365, 608470406, 1216936170, 2433863064
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OFFSET
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1,2
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LINKS
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PROG
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(PARI) lista(nn) = { my(va = vector(nn)); va[1] = 1; va[2] = 2; va[3] = 3; my(sa = vecsum(va)); for (n=4, nn, va[n] = sa - va[n - 1 - 2^ceil(-1 + log(n-1)/log(2))]; sa += va[n]; ); va; } \\ Petros Hadjicostas, Apr 26 2020 (with nn > 2)
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CROSSREFS
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Cf. A049911 (similar, but with minus a(2*m)), A049958 (similar, but with plus a(m)), A049959 (similar, but with plus a(2*m)).
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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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