OFFSET
0,1
REFERENCES
Cantor, D. G. "Investigation of T-numbers and E-sequences." In Computers in Number Theory, ed. AOL Atkin and BJ Birch, Acad. Press, NY (1971); pp. 137-140.
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
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.
David Cantor, Investigation of T-numbers and E-sequences, In Computers in Number Theory, ed. A. O. L. Atkin and B. J. Birch, Acad. Press, NY (1971); pp. 137-140. [Annotated scanned copy]
FORMULA
It is not true that a(n) = a(n-1) + a(n-6), which holds just for n <= 37 (see A275627). E.g. a(38) = 110155 = 85711 + 24445 - 1 = a(37) + a(32) - 1. Sequence is believed to be non-recurring.
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, 8, 10) \\ Colin Barker, Jul 28 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved