login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A048590 Pisot sequence L(8,9). 2
8, 9, 11, 14, 18, 24, 32, 43, 58, 79, 108, 148, 203, 279, 384, 529, 729, 1005, 1386, 1912, 2638, 3640, 5023, 6932, 9567, 13204, 18224, 25153, 34717, 47918, 66139, 91289, 126003, 173918, 240054, 331340, 457340, 631255, 871306, 1202643, 1659980, 2291232, 3162535 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = 2*a(n-1) - a(n-2) + a(n-4) - a(n-5) for n > 5 (holds at least up to n = 1000 but is not known to hold in general).

MATHEMATICA

RecurrenceTable[{a[0] == 8, a[1] == 9, a[n] == Ceiling[a[n - 1]^2/a[n - 2]]}, a, {n, 0, 50}] (* Bruno Berselli, Feb 05 2016 *)

PROG

(MAGMA) Lxy:=[8, 9]; [n le 2 select Lxy[n] else Ceiling(Self(n-1)^2/Self(n-2)): n in [1..50]]; // Bruno Berselli, Feb 05 2016

(PARI) pisotL(nmax, a1, a2) = {

  a=vector(nmax); a[1]=a1; a[2]=a2;

  for(n=3, nmax, a[n] = ceil(a[n-1]^2/a[n-2]));

  a

}

pisotL(50, 8, 9) \\ Colin Barker, Aug 07 2016

CROSSREFS

See A008776 for definitions of Pisot sequences.

Cf. A003411.

Sequence in context: A087668 A120176 A139049 * A168415 A199635 A131864

Adjacent sequences:  A048587 A048588 A048589 * A048591 A048592 A048593

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 16 16:49 EDT 2021. Contains 343050 sequences. (Running on oeis4.)