
In this paper, we study the summations ∑ (a,b,c)∈N a+b+c=n (f(a+ b) + f(b+ c) + f(c+ a)) and ∑ (a,b,c,d)∈N a+b+c+d=n (f(a+ b+ c) + f(b+ c+ d) + f(c+ d+ a)). Especially, for the first summation we obtain some relations related to Bernoulli and Euler polynomials.
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