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A010914 Pisot sequence E(5,17), a(n)=[ a(n-1)^2/a(n-2)+1/2 ]. 0
5, 17, 58, 198, 676, 2308, 7880, 26904, 91856, 313616, 1070752, 3655776, 12481600, 42614848, 145496192, 496755072, 1696027904, 5790601472, 19770350080, 67500197376, 230460089344, 786839962624, 2686439671808 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

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.

LINKS

Table of n, a(n) for n=0..22.

FORMULA

For positive n, a(n) equals [1,1;1,3]^n.{1,2}.{1.2}, [From John M. Campbell, Jul 09 2011]

CROSSREFS

Sequence in context: A054113 A146697 A009229 * A180502 A171838 A105392

Adjacent sequences:  A010911 A010912 A010913 * A010915 A010916 A010917

KEYWORD

nonn

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified May 18 07:10 EDT 2013. Contains 225419 sequences.