Scaled row sum zero vector recursion:s=7; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}/s^2.

Terms

a(0) =1a(1) =1a(2) =-1a(3) =7a(4) =-6a(5) =-1a(6) =49a(7) =-41a(8) =-7a(9) =-1a(10) =343a(11) =-286a(12) =-49a(13) =-7a(14) =-1a(15) =2401a(16) =-2001a(17) =-343a(18) =-49a(19) =-7a(20) =-1a(21) =16807a(22) =-14006a(23) =-2401a(24) =-343a(25) =-49a(26) =-7a(27) =-1a(28) =117649a(29) =-98041