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Question: what is the pattern ?

Question:what is the pattern ?

Lonely 400 Maple
October 06 2009
0

What is the pattern in these polynomials (how to generate them)?

 

1. x^0

2. 3*x^2 + 3* x + 1

3. 240*x^4 + 480*x^3 + 380*x^2 + 140*x + 23

4. 840*x^6+2520*x^5+3220*x^4+2240*x^3+903*x^2+203*x+22

5. 80640*x^8+322560*x^7+571200*x^6+584640*x^5+379008*x^4+159936*x^3+43272*x^2+6984*x+563
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