A349294 - OEIS

%I #10 May 08 2024 10:35:22

%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 V. S. Guba, <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