CONTENTS1. Introduction..............................................................52. The matrix recursion................................................83. The characteristic polynomial of A.........................124. The autocorrelation tree........................................155. The roots of the period polynomials.......................196. A recurrence relation for ..........................257. An explicit formula..................................................308. The limit function....................................................349. The case P = 111...................................................4210. The exceptional cases.........................................4511. The structure of the autocorrelation tree..............51Appendix....................................................................58References................................................................59
1980 Mathematics Subject Classification: Primary 10A30, 10H25
@book{bwmeta1.element.zamlynska-00a409cc-b5a9-4e56-988b-aa8b9ed57545,
author = {David W. Boyd and Janice Cook and Patrick Morton},
title = {On sequences of $\pm$1's defined by binary patterns},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1989},
zbl = {0684.10011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-00a409cc-b5a9-4e56-988b-aa8b9ed57545}
}
David W. Boyd; Janice Cook; Patrick Morton. On sequences of ±1's defined by binary patterns. GDML_Books (1989), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-00a409cc-b5a9-4e56-988b-aa8b9ed57545/