MathDB

Let

n

be a natural number equal or greater than 3 . A sequence of non-negative numbers

(c_0,c_1,\ldots,c_n)

satisfies the condition: c_{p}c_{s}\plus{}c_{r}c_{t}\equal{} c_{p\plus{}r}c_{r\plus{}s} for all non-negative

p,q,r,s

such that p\plus{}q\plus{}r\plus{}s\equal{}n. Determine all possible values of

c_2

when c_1\equal{}1.

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