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If sum(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c...

If `sum_(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c n^2+d n+e ,` then (a) `a-b=d-c` (b) `e=0` (c) `a , b-2//3, c-1` are in A.P. (d) `(b+d)//a` is an integer

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