A081252 Partial sums of A053646.
0, 0, 1, 1, 2, 4, 5, 5, 6, 8, 11, 15, 18, 20, 21, 21, 22, 24, 27, 31, 36, 42, 49, 57, 64, 70, 75, 79, 82, 84, 85, 85, 86, 88, 91, 95, 100, 106, 113, 121, 130, 140, 151, 163, 176, 190, 205, 221, 236, 250, 263, 275, 286, 296, 305, 313, 320, 326, 331, 335, 338, 340, 341, 341
Offset: 1
Examples
First seven terms of A053646 are 0,0,1,0,1,2,1, so a(7) = 5.
Links
- Klaus Brockhaus, Illustration for A053646, A081252, A081253 and A081254
Programs
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PARI
{s=0; for(n=1,65,p=2^floor(0.1^25+log(n)/log(2)); print1(s=s+min(n-p,2*p-n),","))}
Formula
a(n) = sum{j=1..n, A053646(j)}.