%I #7 Apr 15 2021 12:55:50

%S 1,57,1415,19995,176026,989225,3467544,6935089,6061476

%N Coefficients of x+(x+1)^2+(x+2)^3+(x+3)^4+(x+4)^5+(x+5)^6+(x+6)^7+(x+7)^8, highest power first.

%H <a href="http://www.wolframalpha.com/input/?i=x%2B%28x%2B1%29%5E2%2B%28x%2B2%29%5E3%2B%28x%2B3%29%5E4%2B%28x%2B4%29%5E5%2B%28x%2B5%29%5E6%2B%28x%2B6%29%5E7%2B%28x%2B7%29%5E8">WolframAlpha</a>

%e Equals x^8 + 57*x^7 + 1415*x^6 + 19995*x^5 + 176026*x^4 + 989225*x^3 + 3467544*x^2 + 6935089*x + 6061476.

%o (PARI) Vec(x+(x+1)^2+(x+2)^3+(x+3)^4+(x+4)^5+(x+5)^6+(x+6)^7+(x+7)^8) \\ _Michel Marcus_, Apr 15 2021

%Y Cf. A179465.

%K nonn,full,fini,easy

%O 1,2

%A _Vladimir Joseph Stephan Orlovsky_, Jul 15 2010