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A021008
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Pisot sequence P(5,11), a(0)=5, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1).
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0
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5, 11, 24, 52, 113, 246, 536, 1168, 2545, 5545, 12081, 26321, 57346, 124941, 272212, 593075, 1292147, 2815232, 6133614, 13363453, 29115278, 63434160, 138205538, 301111747, 656039443, 1429328995, 3114113637, 6784794668
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| J.-L. Baril, Classical sequences revisited with permutations avoiding dotted pattern, Electronic Journal of Combinatorics, 18 (2011), #P178; http://www.combinatorics.org/Volume_18/PDF/v18i1p178.pdf.
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FORMULA
| G.f.: (2x^3+x^2-4x+5)/(-x^4+2x^2-3x+1) (conjectured). - R. Stephan, May 12 2004
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CROSSREFS
| Sequence in context: A102171 A122926 A122925 * A059358 A167238 A084640
Adjacent sequences: A021005 A021006 A021007 * A021009 A021010 A021011
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KEYWORD
| nonn
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AUTHOR
| R. K. Guy (rkg(AT)cpsc.ucalgary.ca)
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