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TOT 047 1983 Autumn J4 S4 monotone increasing a_{a_k} = 3k

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August 18, 2019
algebraSequenceInteger sequence

Problem Statement

a1,a2,a3,...a_1,a_2,a_3,... is a monotone increasing sequence of natural numbers. It is known that for any k,aak=3kk, a_{a_k} = 3k. a) Find a100a_{100}. b) Find a1983a_{1983}.
(A Andjans, Riga)
PS. (a) for Juniors, (b) for Seniors
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