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A048591 Pisot sequence L(8,10). 1
8, 10, 13, 17, 23, 32, 45, 64, 92, 133, 193, 281, 410, 599, 876, 1282, 1877, 2749, 4027, 5900, 8645, 12668, 18564, 27205, 39869, 58429, 85630, 125495, 183920, 269546, 395037, 578953, 848495, 1243528, 1822477, 2670968, 3914492, 5736965, 8407929, 12322417, 18059378 (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-3) - a(n-4) (holds at least up to n = 1000 but is not known to hold in general).

MATHEMATICA

RecurrenceTable[{a[0] == 8, a[1] == 10, a[n] == Ceiling[a[n - 1]^2/a[n - 2]]}, a, {n, 0, 50}] (* Bruno Berselli, Feb 05 2016 *)

PROG

(MAGMA) Lxy:=[8, 10]; [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, 10) \\ Colin Barker, Aug 07 2016

CROSSREFS

Subsequence of A048588.

See A008776 for definitions of Pisot sequences.

Sequence in context: A275627 A101764 A309065 * A102615 A308874 A030490

Adjacent sequences:  A048588 A048589 A048590 * A048592 A048593 A048594

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified May 12 16:56 EDT 2021. Contains 343825 sequences. (Running on oeis4.)