A156229 - OEIS

This site is supported by donations to The OEIS Foundation.

A156229

Partial sums of A052343

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; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`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 * A082081 A008475 A161656` `Adjacent sequences: A156226 A156227 A156228 * A156230 A156231 A156232`
	KEYWORD	`nonn`
	AUTHOR	`Vladimir Shevelev (shevelev(AT)bgu.ac.il), Feb 06 2009`

Content is available under The OEIS End-User License Agreement .

Last modified February 17 06:27 EST 2012. Contains 205998 sequences.