Jaramillian Polynomials type 1

Jaramillian Polynomials

The first polynomials are:
-x

-2x+2

-3x2+4x+3

-4x3+6x2+6x+4

-5x4+8x3+9X2+8x+5

-6*x^5+10*x^4+12*x^3+12*x^2+10*x+6

-7*x^6+12*x^5+15*x^4+16*x^3+15*x^2+12*x+7

-8*x^7+14*x^6+18*x^5+20*x^4+20*x^3+18*x^2+14*x+8

-9*X**8+16*X**7+21*X**6+24*X**5+25*X**4+24*X**3+21*X**2+16*X+9

-10*X**9+18*X**8+24*X**7+28*X**6+30*X**5+30*X**4+28*X**3+24*X**2+18*X+10

-11*X**10+20*X**9+27*X**8+32*X**7+35*X**6+36*X**5+35*X**4+32*X**3+27*X**2+

20*X+11