A284549 Lexicographically earliest sequence such that a(0) = 1 and a(n + k) != a(n - k) for all 0 < k <= ceiling(n/a(n)).

1, 1, 2, 2, 1, 3, 3, 4, 2, 1, 1, 2, 4, 5, 5, 6, 6, 4, 3, 2, 2, 1, 1, 3, 7, 7, 8, 8, 9, 9, 2, 1, 3, 3, 4, 2, 1, 5, 5, 4, 6, 6, 10, 10, 7, 11, 9, 8, 3, 2, 8, 3, 4, 5, 1, 1, 2, 7, 10, 6, 6, 4, 5, 9, 11, 12, 8, 8, 3, 11, 7, 2, 2, 1, 9, 10, 12, 4, 1, 5, 4, 3, 10

Offset

0,3

Comments

a(3) = 2 therefore a(4) != a(2) and a(5) != a(1). Note that k = floor(3/2) = 2.

Links

Peter Kagey, Table of n, a(n) for n = 0..10000

Peter Kagey, Haskell program for enumerating A284549.

Crossrefs

Cf. A284548.

Sequence in context: A191521 A245370 A321341 * A200779 A286558 A368153

Adjacent sequences: A284546 A284547 A284548 * A284550 A284551 A284552

Keyword

nonn

Author

Peter Kagey, Mar 28 2017

Status

approved