A368798 -id:A368798 - cp's OEIS frontend

A368808 Indices of records in A368798.

0, 1, 3, 5, 11, 29, 31, 51, 53, 104, 112, 126, 266, 295, 337, 361, 403, 449, 485, 761, 891, 967, 1095, 1175, 1199, 1347, 1480, 1657, 1955, 2229, 2358, 2409, 2537, 3007, 3253, 3497, 3617, 3799, 3926, 3959, 4352, 5038, 5313, 5615, 5847, 6434, 6525, 6972, 7267

Offset: 1

Rémy Sigrist, Jan 06 2024

nonn

Rémy Sigrist, C++ program

Cf. A265316, A368798.

A368798(a(n)) = n - 1.

A368795 Lexicographically earliest sequence of nonnegative integers such that the doubly-infinite symmetric sequence b defined by b(n) = b(-n) = a(n) for any n >= 0 has no three equidistant terms in arithmetic progression.

Original entry on oeis.org

0, 1, 1, 2, 4, 2, 2, 1, 1, 4, 2, 4, 5, 5, 9, 3, 3, 5, 5, 10, 5, 4, 7, 3, 2, 8, 6, 2, 4, 2, 4, 7, 2, 3, 6, 5, 11, 1, 7, 15, 9, 6, 12, 10, 13, 10, 2, 13, 11, 8, 17, 9, 10, 13, 14, 1, 10, 11, 17, 15, 12, 1, 1, 5, 12, 11, 5, 6, 1, 17, 3, 15, 6, 6, 7, 6, 6, 17, 25

Offset: 0

Rémy Sigrist, Jan 06 2024

This sequence is a variant of A229037 and A248625 with similar graphical features.

			For n = 4:
- the first 4 terms of the sequence are: 0, 1, 1, 2,
- a(4) cannot equal 0 due to the progression b(-4) = 0, b(0) = 0, b(4) = 0,
- a(4) cannot equal 1 due to the progression b(-2) = 1, b(1) = 1, b(4) = 1,
- a(4) cannot equal 2 due to the progression b(0) = 0, b(2) = 1, b(4) = 2,
- a(4) cannot equal 3 due to the progression b(2) = 1, b(3) = 2, b(4) = 3,
- we chose a(4) = 4 as this does not induce arithmetic progressions.

Rémy Sigrist, Table of n, a(n) for n = 0..10000
Rémy Sigrist, Scatterplot of the first 1000000 terms
Rémy Sigrist, C++ program
Index entries for non-averaging sequences

Cf. A229037, A248625, A368797, A368798.

cp's OEIS Frontend

A368808 Indices of records in A368798.

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