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A sequence (a_n) is defined by means of the recursion
a_1 = 1, a_{n+1} = \frac{1 + 4a_n +\sqrt{1+ 24a_n}}{16}.
Find an explicit formula for a_n.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1845IMO Shortlist 1992 problem 180
1812IMO Shortlist 1991 problem 140
1796IMO Shortlist 1990 problem 260
1749IMO Shortlist 1989 problem 113
1573IMO Shortlist 1981 problem 160
1561IMO Shortlist 1981 problem 41