Theta series of quadratic form with Gram matrix [ 1, 0, 0; 0, 1, 0; 0, 0, 2 ]. Number of integer solutions to x^2 + y^2 + 2*z^2 = n.

A014455

Theta series of quadratic form with Gram matrix [ 1, 0, 0; 0, 1, 0; 0, 0, 2 ]. Number of integer solutions to x^2 + y^2 + 2*z^2 = n.

Terms

    a(0) =1a(1) =4a(2) =6a(3) =8a(4) =12a(5) =8a(6) =8a(7) =16a(8) =6a(9) =12a(10) =24a(11) =8a(12) =24a(13) =24a(14) =0a(15) =16a(16) =12a(17) =16a(18) =30a(19) =24a(20) =24a(21) =16a(22) =24a(23) =16a(24) =8a(25) =28a(26) =24a(27) =32a(28) =48a(29) =8

External references