(e,n) = (1,1)
1, 5, 13, 25, 41,..
which are the sums of consecutive squares.
(1+0 = 1) (1+4=5) (4+9=13) (9+16=25)..
(e,n) = (2,1)
1, 3, 9, 19, 33,..
are sums of the same square plus one
1 = 0+0+1, 3 = 1+1+1, 9 = 4+4+1, 19 = 9+9+1, 33 = 16+16+1.
(3,1)
2,6,14,26,42
sum of consecutive squares plus one.
(4,1)
2,4,10,20,34,
sums of the same square plus two.