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nonn,fini,full,easy
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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 *)
Added the key words (Keywords fini & and full) and the Mathematica coding _ added by _Robert G. Wilson v_, Aug 23 2010
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editing
_Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), _, Jul 15 2010
Added the key words (fini & full) and the Mathematica coding _Robert G. Wilson v (rgwv(AT)rgwv.com), _, Aug 23 2010
Reverse@ CoefficientList[ Series[x + (x + 1)^2 + (x + 2)^3 + (x + 3)^4 + (x + 4)^5 + (x + 5)^6, {x, 0, 6}], x]
nonn,fini,full,new
Added the key words (fini & full) and the Mathematica coding Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 23 2010
Integers of alternate form x+(x+1)^2+(x+2)^3+(x+3)^4+(x+4)^5+(x+5)^6.
1, 31, 396, 2673, 10076, 20153, 16739
1,2
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
<a href="http://www.wolframalpha.com/input/?i=x%2B%28x%2B1%29%5E2%2B%28x%2B2%29%5E3
nonn,new
Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 15 2010
approved