Take apart the sides of each of the integer-sided triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total volume of all rectangular prisms enclosed in this way.

A308233

Take apart the sides of each of the integer-sided triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total volume of all rectangular prisms enclosed in this way.

Terms

    a(0) =0a(1) =0a(2) =1a(3) =0a(4) =4a(5) =8a(6) =21a(7) =18a(8) =67a(9) =68a(10) =158a(11) =174a(12) =323a(13) =358a(14) =703a(15) =658a(16) =1150a(17) =1310a(18) =2008a(19) =2018a(20) =3269a(21) =3338a(22) =4977a(23) =5192a(24) =7292a(25) =7630a(26) =10967a(27) =10836a(28) =14931a(29) =15836

External references