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A014008 Pisot sequence E(10,22), a(n)=[ a(n-1)^2/a(n-2)+1/2 ]. 0
10, 22, 48, 105, 230, 504, 1104, 2418, 5296, 11600, 25408, 55652, 121896, 266992, 584800, 1280904, 2805600, 6145184, 13459968, 29481744, 64574688, 141439744, 309799425, 678562341, 1486274065 (list; graph; refs; listen; history; 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.

FORMULA

Known not to satisfy any linear recurrence.

a(n)=floor(r*s^n+1/2) where r=9.99722327450628273875296...; s=2.190327955501779639125414331914733218563545664874673678481473094.... - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 21 2003

CROSSREFS

Sequence in context: A104867 A179877 A079861 * A039315 A088871 A043138

Adjacent sequences:  A014005 A014006 A014007 * A014009 A014010 A014011

KEYWORD

nonn

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified February 15 11:56 EST 2012. Contains 205781 sequences.