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A122248 a(n)-a(n-1)=A113474(n). 11
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; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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.

LINKS

Table of n, a(n) for n=0..50.

Tanya Khovanova, There are no coincidences, arXiv preprint 1410.2193, 2014

FORMULA

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);

CROSSREFS

Sequence in context: A036713 A260733 A265429 * A024403 A129230 A203567

Adjacent sequences:  A122245 A122246 A122247 * A122249 A122250 A122251

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Aug 27 2006

STATUS

approved

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Last modified May 28 16:24 EDT 2017. Contains 287241 sequences.