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A014005
Pisot sequence E(9,19), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].
1
9, 19, 40, 84, 176, 369, 774, 1624, 3407, 7148, 14997, 31465, 66016, 138507, 290599, 609700, 1279199, 2683861, 5630953, 11814185, 24787095, 52005287, 109111208, 228923950, 480300565, 1007708598, 2114252392, 4435868847, 9306803910, 19526411174, 40967956027
OFFSET
0,1
LINKS
D. W. Boyd, Some integer sequences related to the Pisot sequences, Acta Arithmetica, 34 (1979), 295-305.
D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993.
FORMULA
Known not to satisfy any linear recurrence.
PROG
(PARI) pisotE(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]+1/2));
a
}
pisotE(50, 9, 19) \\ Colin Barker, Jul 28 2016
CROSSREFS
Sequence in context: A039299 A211114 A159697 * A286624 A058510 A043122
KEYWORD
nonn
AUTHOR
STATUS
approved