A133102 Number of partitions of n^3 into n distinct nonzero squares.

1, 0, 0, 0, 0, 3, 5, 20, 56, 112, 268, 618, 1922, 8531, 29021, 100407, 321531, 899618, 2937312, 9295401, 31615059, 117365818, 403433963, 1417579281, 4848439367, 15960316056, 55180971700, 190251417034, 670818005444, 2429973932322

Offset: 1

Author

Hugo Pfoertner, Sep 12 2007

Keywords

• nonn

Examples

			a(6) = 3 because there are 3 ways to express 6^3 = 216 as a sum of 6 distinct nonzero squares: 216 = 1^2 + 2^2 + 4^2 + 5^2 + 7^2 + 11^2 = 1^2 + 3^2 + 5^2 + 6^2 + 8^2 + 9^2 = 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 9^2.
		

Links

• Robert Gerbicz, May 09 2008, Table of n, a(n) for n = 1..40

Crossrefs

Cf. A000161, A000378, A000141, A005875, A000118, A000132, A008451.

Cf. A133103 (number of ways to express n^3 as a sum of n nonzero squares), A133105 (number of ways to express n^4 as a sum of n distinct nonzero squares).

Programs

PARI

a(i, n, k)=local(s, j); if(k==1, if(issquare(n) && n
				

Extensions

2 more terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Dec 16 2007

More terms from Robert Gerbicz, May 09 2008