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

0,2

Links

Table of n, a(n) for n=0..39.

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

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

Mathematica

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

Crossrefs

Sequence in context: A140593 A195546 A142410 * A137724 A172080 A142181

Adjacent sequences: A164937 A164938 A164939 * A164941 A164942 A164943

Keyword

nonn

Author

N. J. A. Sloane, Mar 04 2010

Status

approved