A164940 Partial sums of A138202.

1, 37, 181, 245, 281, 857, 1433, 1433, 1577, 2477, 3053, 3629, 3693, 4269, 6573, 6573, 6609, 8913, 10209, 10785, 11361, 13665, 14241, 14241, 14817, 15717, 20901, 21925, 21925, 27109, 29413, 29413, 29557, 31861, 34165, 36469, 37369, 37945, 43129, 43129

Offset: 0

Author

N. J. A. Sloane, Mar 04 2010

Keywords

• nonn

Links

• S. K. K. Choi, A. V. Kumchev and R. Osburn, On sums of three squares

Programs

Mathematica

Prepend[SquaresR[3,#]^2 &/@Range[39],1]//Accumulate (* Ant King, Mar 15 2013 *)

Formula

For asymptotics see Choi et al.

In particular, lim_{n -> infinity} a(n)/n^2 = 8*Pi^4 / (21*zeta(3)). - Ant King, Mar 15 2013