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A156229 Partial sums of A052343 +0
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1, 2, 3, 4, 5, 5, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 16, 16, 17, 17, 18, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27, 29, 29, 29, 30, 30, 32, 33, 34, 35, 35, 35, 37, 38, 38, 39, 41, 41, 42, 43, 43, 45, 45, 45, 45, 47, 49, 50, 51, 51, 52 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n)=(pi/4)n+O(sqrt(n))

LINKS

V. Shevelev, Binary additive problems: theorems of Landau and Hardy-Littlewood type

FORMULA

a(n)=sum_{1<=k<=r(n)}r(2n-k^2+k)-C(r(n),2), where r(n)=A000194(n+1).

CROSSREFS

A052343 A000194

Sequence in context: A088468 A049448 A130044 this_sequence A082081 A008475 A161656

Adjacent sequences: A156226 A156227 A156228 this_sequence A156230 A156231 A156232

KEYWORD

nonn

AUTHOR

Vladimir Shevelev (shevelev(AT)bgu.ac.il), Feb 06 2009

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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