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%I #15 May 06 2022 13:12:15
%S 1,2,3,5,9,19,37,73,144,292,583,1165,2328,4652,9294,18570,37104,74280,
%T 148559,297117,594232,1188460,2376910,4753802,9507568,19015065,
%U 38029982,76059673,152118764,304236365,608470406,1216936170,2433863064
%N 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.
%o (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)
%Y Cf. A049911 (similar, but with minus a(2*m)), A049958 (similar, but with plus a(m)), A049959 (similar, but with plus a(2*m)).
%K nonn
%O 1,2
%A _Clark Kimberling_
%E Name edited by _Petros Hadjicostas_, Apr 26 2020
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