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 A049925 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 and a(2) = a(3) = 3. 0
 1, 3, 3, 4, 10, 17, 35, 70, 142, 215, 465, 948, 1903, 3812, 7625, 15250, 30502, 45755, 99135, 202083, 406075, 813105, 1626693, 3253636, 6507345, 13014762, 26029559, 52059136, 104118279, 208236564, 416473129, 832946258, 1665892518 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS MAPLE 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, 3][n], s(n - 1) - a(2^ceil(log[2](n - 1)) + 2 - n)): end proc: seq(a(n), n = 1..34); # Petros Hadjicostas, Nov 14 2019 CROSSREFS Sequence in context: A144626 A033707 A178043 * A291873 A118114 A266067 Adjacent sequences:  A049922 A049923 A049924 * A049926 A049927 A049928 KEYWORD nonn AUTHOR EXTENSIONS Name edited by Petros Hadjicostas, Nov 14 2019 STATUS approved

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Last modified May 21 03:13 EDT 2022. Contains 353886 sequences. (Running on oeis4.)