%I #8 Apr 15 2021 12:55:28

%S 1,31,396,2673,10076,20153,16739

%N Integers of alternate form x+(x+1)^2+(x+2)^3+(x+3)^4+(x+4)^5+(x+5)^6.

%C x+(x+1)^2+(x+2)^3+(x+3)^4+(x+4)^5+(x+5)^6 --> Alternate form:x^6+31*x^5+396*x^4+2673*x^3+10076*x^2+20153*x+16739

%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">WolframAlpha</a>

%t Reverse@ CoefficientList[ Series[x + (x + 1)^2 + (x + 2)^3 + (x + 3)^4 + (x + 4)^5 + (x + 5)^6, {x, 0, 6}], x] (* _Robert G. Wilson v_, Aug 23 2010 *)

%K nonn,fini,full,easy

%O 1,2

%A _Vladimir Joseph Stephan Orlovsky_, Jul 15 2010

%E Keywords fini and full added by _Robert G. Wilson v_, Aug 23 2010