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Search: id:A138804
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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
1
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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; listen)
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OFFSET
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0,3
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COMMENT
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a(n)/a(n-1) tends to 3.046524695... = exp ArcSinh(e/2).
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FORMULA
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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
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a(5) = 5 floor of term (1,1) in X^5 = 25.
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CROSSREFS
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Sequence in context: A066374 A119854 A037560 this_sequence A036367 A115256 A132963
Adjacent sequences: A138801 A138802 A138803 this_sequence A138805 A138806 A138807
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 30 2008
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