A087805 Partial sums of b(k) where {b(k)}{k>=0} = lim{n->oo} {A080578(k)-2k : k=2^n,2^n+1,2^n+2,...}.
0, 1, 3, 4, 6, 9, 11, 12, 14, 17, 19, 22, 26, 29, 31, 32, 34, 37, 39, 42, 46, 49, 51, 54, 58, 61, 65, 70, 74, 77, 79, 80, 82, 85, 87, 90, 94, 97, 99, 102, 106, 109, 113, 118, 122, 125, 127, 130, 134, 137, 141, 146, 150, 153, 157, 162, 166, 171, 177, 182, 186, 189, 191
Offset: 0
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Formula
a(n) seems to be asymptotic to c*n*log(n). Is c = log(2)?