2

Part of 2005 IMC

Problems(2)

IMC 2005 day 1 pb 2

Source: Peter

2) all elements in {0,1,2}; B[n] = number of rows with no 2 sequent 0's; A[n] with no 3 sequent elements the same; prove |A[n+1]|=3.|B[n]|

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IMC 2005 day 2 pb 2

Source: Peter

f: \mathbb{R}\to\mathbb{R}

be a function such that

(f(x))^{n}

is a polynomial for every integer

n\geq 2

f

also a polynomial?

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