Skoči na glavni sadržaj

Glasnik matematički, Vol. 38 No. 1, 2003.

Izvorni znanstveni članak

Near squares in linear recurrence sequences

P. G. Walsh

Puni tekst: engleski pdf 250 Kb

str. 11-18

preuzimanja: 110

citiraj

Sažetak

Let T > 1 denote a positive integer. Let Un denote the linear recurrence sequence defined by U0 = 0, U1 = 1, and Uk+1 = 2TUk - Uk-1 for k 1. In recent years there have been some improvements on the determination of solutions to the Diophantine equation Un = cx2, where c is a given positive integer. In this paper we use a result of Bennett and the author to determine precisely the integer solutions to the related equation Un = cx2 1, where c is a given even positive integer.

Ključne riječi

Linear recurrence sequence; diophantine equation; Pell equation

Hrčak ID:

1331

URI

https://hrcak.srce.hr/1331

Datum izdavanja:

1.6.2003.

Posjeta: 489 *