Number of equilateral triangles with coordinates (x,y,z) in the set {0, 1,...,n}.

Terms

a(0) =8a(1) =80a(2) =368a(3) =1264a(4) =3448a(5) =7792a(6) =16176a(7) =30696a(8) =54216a(9) =90104a(10) =143576a(11) =220328a(12) =326680a(13) =471232a(14) =664648a(15) =916344a(16) =1241856a(17) =1655208a(18) =2172584a(19) =2812664a(20) =3598664a(21) =4553800a(22) =5702776a(23) =7075264a(24) =8705088a(25) =10628928a(26) =12880056a(27) =15496616a(28) =18523472a(29) =22003808