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A014006
Pisot sequence E(10,18), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].
1
10, 18, 32, 57, 102, 183, 328, 588, 1054, 1889, 3386, 6069, 10878, 19498, 34949, 62644, 112286, 201267, 360761, 646646, 1159081, 2077595, 3723986, 6675060, 11964714, 21446156, 38441170, 68903889, 123506801, 221379811, 396812324, 711266397, 1274909717
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, 10, 18) \\ Colin Barker, Jul 28 2016
CROSSREFS
Sequence in context: A162828 A190038 A233695 * A090995 A363769 A153360
KEYWORD
nonn
AUTHOR
STATUS
approved