OFFSET
0,1
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
FORMULA
Pisot sequence T(x, y): a(0) = x, a(1) = y, a(n) = floor(a(n-1)^2/a(n-2)).
MATHEMATICA
RecurrenceTable[{a[0] == 2, a[1] == 9, a[n] == Floor[a[n - 1]^2/a[n - 2]]}, a, {n, 0, 30}] (* Bruno Berselli, Feb 04 2016 *)
PROG
(PARI) lista(nn) = {print1(x = 2, ", ", y = 9, ", "); for (n=1, nn, z = y^2\x; print1(z, ", "); x = y; y = z; ); } \\ Michel Marcus, Feb 04 2016
(Magma) Iv:=[2, 9]; [n le 2 select Iv[n] else Floor(Self(n-1)^2/Self(n-2)): n in [1..30]]; // Bruno Berselli, Feb 04 2016
(PARI) pisotT(nmax, a1, a2) = {
a=vector(nmax); a[1]=a1; a[2]=a2;
for(n=3, nmax, a[n] = floor(a[n-1]^2/a[n-2]));
a
}
pisotT(50, 2, 9) \\ Colin Barker, Jul 29 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved