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A048589 Pisot sequence L(7,9). 1
7, 9, 12, 16, 22, 31, 44, 63, 91, 132, 192, 280, 409, 598, 875, 1281, 1876, 2748, 4026, 5899, 8644, 12667, 18563, 27204, 39868, 58428, 85629, 125494, 183919, 269545, 395036, 578952, 848494, 1243527, 1822476, 2670967, 3914491, 5736964, 8407928, 12322416, 18059377 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
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] == 7, 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:=[7, 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, 7, 9) \\ Colin Barker, Aug 07 2016
CROSSREFS
Subsequence of A048585.
See A008776 for definitions of Pisot sequences.
Sequence in context: A075335 A250220 A020720 * A121056 A174189 A112529
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified May 25 15:58 EDT 2024. Contains 372800 sequences. (Running on oeis4.)