MathDB

2 sl2

Part of 2011 Mathcenter Contest + Longlist

Problems(1)

f_n=[2^n\sqrt{69}]+[2^n\sqrt{96}]

Source: Mathcenter Contest / Oly - Thai Forum 2011 (R1) p2 sl-2 https://artofproblemsolving.com/community/c3196914_mathcenter_contest

11/14/2022
For natural nn, define fn=[2n69]+[2n96]f_n=[2^n\sqrt{69}]+[2^n\sqrt{96}] Prove that there are infinite even integers and infinite odd integers that appear in number f1,f2,…f_1,f_2,\dots.
(tatari/nightmare)
number theory