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A111365
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a(n) = 5*a(n-1) + 3*a(n-2) where a(0) = a(1) = 1.
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0
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1, 1, 8, 43, 239, 1324, 7337, 40657, 225296, 1248451, 6918143, 38336068, 212434769, 1177182049, 6523214552, 36147618907, 200307738191, 1109981547676, 6150830952953, 34084099407793, 188872989897824, 1046617247712499
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OFFSET
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0,3
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REFERENCES
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Thomas Koshy, "Fibonacci and Lucas Numbers with Applications", Wiley, 2001
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LINKS
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FORMULA
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EXAMPLE
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a(2) = 5*a(1) + 3*a(0) = 5*1 + 3*1 = 8 which is the third term in the sequence.
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MATHEMATICA
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Transpose[NestList[Flatten[{Rest[#], ListCorrelate[{3, 5}, #]}]&, {1, 1}, 40]][[1]] (* Harvey P. Dale, Mar 23 2011 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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