A330267 - OEIS

%I #38 Nov 07 2023 20:41:42

%S 0,0,1,0,0,1,2,3,4,0,0,1,0,0,1,2,3,4,5,6,7,8,9,2,3,10,11,0,0,1,0,0,1,

%T 12,13,4,0,0,1,0,0,1,6,5,4,7,8,9,14,15,6,16,10,5,17,11,10,7,8,3,2,5,2,

%U 3,18,19,20,21,3,2,12,2,3,13,22,2,11,2,10,23

%N Lexicographically earliest sequence of nonnegative terms such that for any n > 0 and k > 0, a(n+2*k) <> max(a(n), a(n+k)).

%H Rémy Sigrist, <a href="/A330267/b330267.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A330267/a330267.png">Scatterplot of the first 250000 terms</a>

%H Rémy Sigrist, <a href="/A330267/a330267.txt">C program for A330267</a>

%F a(n) = 0 iff n belongs to A003278.

%o (C) See Links section.

%Y Cf. A003278 (positions of 0's).

%Y See A229037, A268811, A276204, A309890, A317805, A361933, A364057 for similar sequences.

%Y See A330622, A330623 and A330629 for other variants.

%K nonn

%O 1,7

%A _Rémy Sigrist_, Dec 21 2019