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A349294 Numbers m such that there exists a permutation p of {1,2,...,m} with p(k) dividing p(k+1) + p(k+2) for all k in {1,2,...,m-2}. 1

%I #8 Sep 22 2022 01:40:02

%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,

%T 27,28,29,34,37,38,51

%N Numbers m such that there exists a permutation p of {1,2,...,m} with p(k) dividing p(k+1) + p(k+2) for all k in {1,2,...,m-2}.

%C Numbers m such that A349288(m) > 0.

%H Falcao, <a href="https://falcao.livejournal.com/328831.html">Problem of the day-13</a>, 2021. (in Russian)

%e m=9 belongs to this sequence since the permutation p = (1, 3, 8, 7, 9, 5, 4, 6, 2) satisfies the condition.

%Y Cf. A349288.

%K nonn,hard,more

%O 1,2

%A _Max Alekseyev_, Nov 13 2021

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Last modified March 29 05:28 EDT 2024. Contains 371264 sequences. (Running on oeis4.)