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

0,1

Comments

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

Links

Table of n, a(n) for n=0..25.

Ilya Gutkovskiy, Pisot sequences L(x,y)

Index entries for Pisot sequences

Formula

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

Mathematica

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

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.

Sequence in context: A071733 A291384 A010904 * A071737 A071741 A211305

Adjacent sequences: A277081 A277082 A277083 * A277085 A277086 A277087

Keyword

nonn,easy

Author

Ilya Gutkovskiy, Sep 29 2016

Status

approved