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A014002 Pisot sequence E(8,14), a(n)=[ a(n-1)^2/a(n-2)+1/2 ]. 1
8, 14, 25, 45, 81, 146, 263, 474, 854, 1539, 2773, 4996, 9001, 16217, 29218, 52642, 94845, 170882, 307878, 554704, 999411, 1800640, 3244215, 5845106, 10531134, 18973956, 34185398, 61591870, 110970141 (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.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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.

MATHEMATICA

RecurrenceTable[{a[0]==8, a[1]==14, a[n]==Floor[a[n-1]^2/a[n-2]+1/2]}, a, {n, 30}] (* Harvey P. Dale, Jan 31 2015 *)

CROSSREFS

Sequence in context: A090993 A211525 A241161 * A301787 A029625 A226756

Adjacent sequences:  A013999 A014000 A014001 * A014003 A014004 A014005

KEYWORD

nonn

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified June 17 17:05 EDT 2021. Contains 345085 sequences. (Running on oeis4.)