A368649 a(n) = round(n*rho), where rho = (5+sqrt(5))/2.

4, 7, 11, 14, 18, 22, 25, 29, 33, 36, 40, 43, 47, 51, 54, 58, 62, 65, 69, 72, 76, 80, 83, 87, 90, 94, 98, 101, 105, 109, 112, 116, 119, 123, 127, 130, 134, 137, 141, 145, 148, 152, 156, 159, 163, 166, 170, 174, 177, 181, 185, 188, 192, 195, 199, 203, 206, 210

Offset

1,1

Comments

Also, the positive integers that do not appear in A118287.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Benoit Cloitre and Jeffrey Shallit, Some Fibonacci-Related Sequences, arXiv:2312.11706 [math.CO], 2023-2024.

Formula

a(n) = floor(n*(5+sqrt(5))/2 + 1/2).

Mathematica

Round[Range[100](5+Sqrt[5])/2] (* Paolo Xausa, Jan 03 2024 *)

Crossrefs

Cf. A003231, A118287, A296184.

Sequence in context: A087070 A310729 A198271 * A310730 A310731 A161886

Adjacent sequences: A368646 A368647 A368648 * A368650 A368651 A368652

Keyword

nonn

Author

Jeffrey Shallit, Jan 02 2024

Status

approved