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A138804
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a(n) = floor: e*a(n-1) + a(n-2), e = 2.718281828...
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0
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0, 1, 2, 8, 25, 77, 236, 721, 2198, 6698, 20408, 62173, 189414, 577055, 1758012, 5355828, 16316664, 49709120, 151440064, 461365896, 1405562597, 4282081163, 13045466011, 39743334364, 121079049617, 168870314746
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(n)/a(n-1) tends to 3.046524695... = exp ArcSinh(e/2).
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FORMULA
| a(0)= 0, a(1) = 1, a(n) = floor: e*a(n-1) + a(n-2), n>1. Let X = the 2 X 2 matrix [0,1; 1,e]. a(n) = floor of term (1,1) in X^n.
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EXAMPLE
| a(5) = 5 floor of term (1,1) in X^5 = 25.
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CROSSREFS
| Sequence in context: A119854 A176855 A037560 * A036367 A115256 A132963
Adjacent sequences: A138801 A138802 A138803 * A138805 A138806 A138807
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 30 2008
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