A084863 Number of solutions to n = 2*u^2 + 3*v^2, u*v>0.

0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0

Offset

1,35

Comments

a(A084864(n)) > 0.

Links

Table of n, a(n) for n=1..102.

Eric Weisstein's World of Mathematics, Diophantine Equation: 2nd Powers.

Example

n=770 = 2*19^2 + 3*4^2 = 2*17^2 + 3*8^2 = 2*13^2 + 3*12^2 = 2*1 +
3*16^2, therefore a(770)=4.

Crossrefs

Cf. A084865, A084866.

Sequence in context: A294068 A339553 A181011 * A368072 A233441 A255365

Adjacent sequences: A084860 A084861 A084862 * A084864 A084865 A084866

Keyword

nonn

Author

Reinhard Zumkeller, Jun 10 2003

Status

approved