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Search: id:A122248
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| 0, 1, 3, 5, 9, 13, 18, 23, 31, 39, 48, 57, 68, 79, 91, 103, 119, 135, 152, 169, 188, 207, 227, 247, 270, 293, 317, 341, 367, 393, 420, 447, 479, 511, 544, 577, 612, 647, 683, 719, 758, 797, 837, 877, 919, 961, 1004, 1047, 1094, 1141, 1189
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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First differences are A113474.
Comment from Jeremy Gardiner, Dec 28 2008: The following sequences all appear to have the same parity: A003071, A029886, A061297, A092524, A093431, A102393, A104258, A122248, A128975.
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FORMULA
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G.f.: (1/(1-x))*Sum{k=0..infinity, x^(2^k)/((1-x)*(1-x^(2^k)))}-x^2/(1-x)^3; a(n)=sum{k=1..n, sum{j=0..n, floor(k/2^j)}}-binomial(n,2); a(n)=A122247(n)-binomial(n,2);
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CROSSREFS
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Sequence in context: A152737 A032635 A036713 this_sequence A024403 A129230 A071404
Adjacent sequences: A122245 A122246 A122247 this_sequence A122249 A122250 A122251
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Aug 27 2006
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