A286093 Lexicographically earliest sequence of positive integers such that {a(n), a(n + 1), ..., a(n + k)} != {a(n + k), a(n + k + 1), ..., a(n + 2k)} for all k > 0.

1, 1, 2, 2, 3, 1, 1, 3, 4, 1, 1, 2, 2, 4, 4, 1, 5, 2, 1, 1, 2, 3, 1, 1, 3, 5, 1, 1, 5, 6, 1, 1, 2, 2, 3, 1, 1, 3, 4, 1, 1, 2, 2, 4, 4, 1, 6, 2, 1, 1, 2, 7, 1, 1, 3, 2, 1, 1, 2, 4, 1, 1, 3, 2, 5, 1, 1, 2, 2, 3, 1, 1, 3, 6, 8, 1, 1, 2, 2, 3, 1, 1, 3, 4, 1, 1, 2

Offset

1,3

Comments

Records appear at: 1,3,5,9,17,30,52,75,127,202,329,598,969,1568,2538,4207.

Links

Peter Kagey, Table of n, a(n) for n = 1..10000

Example

a(4) != 1 or else {a(2), a(3)} = {1, 2} = {a(3), a(4)}, thereforea(4) = 2.
a(5) != 1 or else {a(1), a(2), a(3)} = {1, 2} = {a(3), a(4), a(5)},a(5) != 2 or else {a(3), a(4)} = {2} = {a(4), a(5)}, therefore a(5) != 3.

Crossrefs

Sequence in context: A092779 A328067 A355792 * A078827 A157806 A328732

Adjacent sequences: A286090 A286091 A286092 * A286094 A286095 A286096

Keyword

nonn

Author

Peter Kagey, May 01 2017

Status

approved