A143574 - OEIS

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A143574

Sum of all distinct squares occurring when partitioning n into two squares.

0, 1, 1, 0, 4, 5, 0, 0, 4, 9, 10, 0, 0, 13, 0, 0, 16, 17, 9, 0, 20, 0, 0, 0, 0, 50, 26, 0, 0, 29, 0, 0, 16, 0, 34, 0, 36, 37, 0, 0, 40, 41, 0, 0, 0, 45, 0, 0, 0, 49, 75, 0, 52, 53, 0, 0, 0, 0, 58, 0, 0, 61, 0, 0, 64, 130, 0, 0, 68, 0, 0, 0, 36, 73, 74, 0, 0, 0, 0, 0, 80, 81, 82, 0, 0, 170, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,5`
	COMMENTS	`For n > 0: a(n) = 0 iff A000161(n) = 0: a(A022544(n)) = 0;` `A143575 gives numbers m such that a(m) = m.`
	LINKS	`R. Zumkeller, Table of n, a(n) for n = 0..10000`
	FORMULA	`a(n) = SUM(kA010052(k)A010052(n-k): 1<=k<=n). [From Reinhard Zumkeller, Sep 27 2008]`
	EXAMPLE	`A000161(25)=#{5^2+0^2,4^2+3^2}=2: a(25)=25+0+16+9=50;` `A000161(26)=#{5^2+1^2}=1: a(16)=25+1=26;` `A000161(49)=#{7^2+0^2}=1: a(49)=49+0=49;` `A000161(50)=#{7^2+1^2,5^2+5^2}=2: a(50)=49+1+25=75;` `A000161(2600)=#{50^2+10^2,46^2+22^2,38^2+34^2}=3:` `a(2600)=2500+100+2116+484+1444+1156=7800;` `A000161(2601)=#{51^2+0^2,45^2+24^2}=2:` `a(2601)=2601+0+12025+576=5202;` `A000161(2602)=#{51^2+1^2}=1: a(26002)=2601+1=2602.`
	CROSSREFS	`A002654. [From Reinhard Zumkeller, Sep 27 2008]` `Sequence in context: A167003 A335762 A254294 * A262400 A075424 A200619` `Adjacent sequences: A143571 A143572 A143573 * A143575 A143576 A143577`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller, Aug 24 2008`
	STATUS	`approved`

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Last modified May 16 05:18 EDT 2022. Contains 353693 sequences. (Running on oeis4.)