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September 30th, 2016, 01:08 AM  #1 
Senior Member Joined: Jul 2011 Posts: 405 Thanks: 16  Coefficient in binomial expansion
The coefficients of $x^9$ in the expansion of $(1+x)(1+x^2)(1+x^3)...........(1+x^{2016})$

September 30th, 2016, 05:31 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,807 Thanks: 717 
9=9 1+8=9 2+7=9 3+6=9 4+5=9 1+2+6=9 1+3+5=9 2+3+4=9 8 items Coefficient = 8. Expansion is not binomial! 

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binomial, coefficient, expansion 
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