OJM 2010 Problema II

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Andi Brojbeanu
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OJM 2010 Problema II

Post by Andi Brojbeanu »

Se considera sirul \( (x_n)_{n\ge 0} \) dat prin \( x_n=2^n-n, n\in \mathb{N} \). Detereminati toate numerele naturale \( p \) pentru care
\( s_p=x_0+x_1+x_2+...+x_p \)
este o putere cu exponent natural a lui \( 2 \).
Gazeta Matematica 12/2009
Andi Brojbeanu
profesor, Liceul Teoretic "Lucian Blaga", Cluj-Napoca
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