Promotrimo niz
brojeva koje možemo dobiti zbrajanjem potencija broja
(dakle taj niz počinje ovako:
). Ako je
, koliko je
?
Consider the sequence
of numbers that can be obtained as sums of distinct powers of
(so the sequence begins
). If
, what is
?
[lang=hr]
Promotrimo niz $a_n$ brojeva koje možemo dobiti zbrajanjem potencija broja $5$ (dakle taj niz počinje ovako: $1,5,6,25,26,31,\dots$). Ako je $a_1=1$, koliko je $a_{200}$?
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[lang=en]
Consider the sequence \((a_n)\) of numbers that can be obtained as sums of distinct powers of \(5\) (so the sequence begins \(1,5,6,25,26,31,\dots\)). If \(a_1=1\), what is \(a_{200}\)?
[/lang]
