A133105 Number of partitions of n^4 into n distinct nonzero squares.

1, 0, 1, 0, 21, 266, 2843, 55932, 884756, 13816633, 283194588, 5375499165, 125889124371, 3202887665805, 80542392920980, 2270543992935431, 64253268814048352, 1892633465941308859, 59116753827795287519, 1886846993941912938452

Offset: 1

Author

Hugo Pfoertner, Sep 12 2007

Keywords

• nonn

Examples

			a(3)=1 because there is exactly one way to express 3^4 as the sum of 3 distinct nonzero squares: 81 = 1^2 + 4^2 + 8^2.
		

Links

• Robert Gerbicz, May 09 2008, Table of n, a(n) for n = 1..20

Crossrefs

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

Cf. A133104 (number of ways to express n^4 as a sum of n nonzero squares), A133102 (number of ways to express n^3 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

a(10) from Herman Jamke (hermanjamke(AT)fastmail.fm), Dec 16 2007

a(11) onwards from Robert Gerbicz, May 09 2008