Number of ways of numbering the vertices of a cube so sum of the 8 numbers is n.

Terms

a(0) =1a(1) =1a(2) =4a(3) =7a(4) =21a(5) =37a(6) =85a(7) =151a(8) =292a(9) =490a(10) =848a(11) =1346a(12) =2157a(13) =3260a(14) =4925a(15) =7148a(16) =10327a(17) =14477a(18) =20177a(19) =27483a(20) =37194a(21) =49431a(22) =65277a(23) =84945a(24) =109873a(25) =140394a(26) =178377a(27) =224334a(28) =280647a(29) =348040