A188512 Lengths of successive runs of identical terms in A188511.

2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2

Offset

1,1

Comments

A correspondent asked if this sequence was (apart from the initial terms) the same as the Fibonacci word A003842. It is not.

Period 7: repeat [2, 1, 2, 1, 2, 1, 1]. - Paolo Xausa, Jan 09 2025

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,1).

Formula

G.f.: (2 + x + 2*x^2 + x^3 + 2*x^4 + x^5 + x^6)/(1 - x^7). - Stefano Spezia, Jan 29 2025

Mathematica

PadRight[{}, 100, {2, 1, 2, 1, 2, 1, 1}] (* Paolo Xausa, Jan 08 2025 *)

Crossrefs

Cf. A003842, A188511.

Sequence in context: A307781 A356112 A232740 * A081129 A022934 A107450

Adjacent sequences: A188509 A188510 A188511 * A188513 A188514 A188515

Keyword

nonn,easy

Author

N. J. A. Sloane, Apr 02 2011

Status

approved