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A049921
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a(n) = a(1) + a(2) + ... + 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) = 3, and a(3) = 2.
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2
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1, 3, 2, 3, 8, 14, 29, 57, 116, 176, 380, 775, 1556, 3117, 6235, 12469, 24940, 37412, 81058, 165234, 332029, 664839, 1330073, 2660350, 5320760, 10641579, 21283186, 42566387, 85132780, 170265565, 340531131, 681062261, 1362124524
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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, 3, 2][n], s(n - 1) - a(2^ceil(log[2](n - 1)) + 2 - n)):
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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