A277084 Pisot sequence L(4,14).

4, 14, 49, 172, 604, 2122, 7456, 26198, 92052, 323444, 1136489, 3993295, 14031289, 49301911, 173232725, 608689936, 2138761243, 7514991434, 26405516950, 92781386582, 326007088306, 1145495077635, 4024940008834, 14142480741305, 49692606865991, 174605518105877

Offset: 0

Author

Ilya Gutkovskiy, Sep 29 2016

Keywords

• nonn
• easy

Comments

There is no simple g.f. - Ilya Gutkovskiy, May 23 2019

Links

• Ilya Gutkovskiy, Pisot sequences L(x,y)
• Index entries for Pisot sequences

Crossrefs

Cf. A008776 for definitions of Pisot sequences.

Cf. A010904 (Pisot sequence E(4,14)), A251221 (seems to be Pisot sequence P(4,14)).

Cf. A018910, A020706, A004119, A020707, A048582, A020734.

Programs

Mathematica

RecurrenceTable[{a[0] == 4, a[1] == 14, a[n] == Ceiling[a[n - 1]^2/a[n - 2]]}, a, {n, 25}]

Formula

a(n) = ceiling(a(n-1)^2/a(n-2)), a(0) = 4, a(1) = 14.