Number of (u,v,w,x,y,z) with all terms in {0,1,...,n} and 5u=v+w+x+y+z.

Terms

a(0) =1a(1) =2a(2) =53a(3) =204a(4) =625a(5) =1556a(6) =3357a(7) =6558a(8) =11809a(9) =20000a(10) =32211a(11) =49762a(12) =74263a(13) =107564a(14) =151875a(15) =209716a(16) =283967a(17) =377918a(18) =495219a(19) =640000a(20) =816821a(21) =1030722a(22) =1287273a(23) =1592524a(24) =1953125a(25) =2376276a(26) =2869777a(27) =3442078a(28) =4102229a(29) =4860000