n+3

(1/2)*n^2+(5/2)*n+4

(1/6)*n^3+n^2+(23/6)*n+5

(1/24)*n^4+(1/4)*n^3+(47/24)*n^2+(19/4)*n+4

(1/120)*n^5+(1/24)*n^4+(17/24)*n^3+(47/24)*n^2+(257/60)*n+4