A277141 Lexicographically least sequence of nonnegative integers that avoids a/b-powers for all a/b >= 4/3.

0, 1, 2, 3, 0, 4, 1, 3, 2, 0, 1, 4, 2, 3, 0, 5, 1, 2, 0, 3, 1, 4, 0, 2, 1, 3, 0, 4, 1, 2, 0, 5, 1, 3, 2, 4, 0, 1, 2, 3, 0, 4, 1, 3, 2, 0, 1, 5, 2, 3, 0, 5, 1, 2, 0, 3, 1, 4, 0, 5, 2, 1, 0, 3, 2, 4, 0, 1, 2, 3, 0, 4, 2, 1, 0, 5, 2, 3, 1, 4, 0, 2, 1, 3, 0, 4, 1, 2, 0, 3, 1, 4, 2, 3, 0, 1, 2, 4, 0, 3, 1, 5, 0, 2, 1, 3, 0, 4, 1, 5, 2, 0, 1, 3, 2, 4, 0, 3, 1, 2

Offset

0,3

Links

Table of n, a(n) for n=0..119.

Lara Pudwell and Eric Rowland, Avoiding fractional powers over the natural numbers, arXiv:1510.02807 [math.CO] (2015).

Formula

Conjecture: a(336*n + 1666) = A277142(56*n + 17) + 4.

Crossrefs

Cf. A277142 (the lexicographically least sequence that avoids 4/3-powers).

Sequence in context: A341825 A181308 A292246 * A021438 A195822 A356624

Adjacent sequences: A277138 A277139 A277140 * A277142 A277143 A277144

Keyword

nonn

Author

Eric Rowland, Oct 01 2016

Status

approved