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A143574 Sum of all distinct squares occurring when partitioning n into two squares. 4
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(k*A010052(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 September 29 18:27 EDT 2020. Contains 337432 sequences. (Running on oeis4.)