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Search: id:A116953
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| A116953 |
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a(n) = Floor[1/2((1-2/Sqrt[3])^n+(1-2/Sqrt[3])^n)] |
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+0
1
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| 1, 1, 2, 5, 10, 23, 50, 107, 232, 500, 1078, 2323, 5007, 10789, 23248, 50092, 107934, 232566, 501111, 1079745, 2326528, 5012972, 10801454, 23273900, 50148285, 108054537
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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A Binet sequence solution with ratio =(2+Sqrt[3])/Sqrt[3] ( called a trident sequence after the graphic it comes from).
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MATHEMATICA
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Needs["DiscreteMath`RSolve`"]; Clear[f]; f[n_Integer] = Module[{a}, a[n] /. RSolve[{a[n] == 2*a[n - 1] + a[n - 2]/3, a[0] == 1, a[1] == 1}, a[n], n][[1]] // Simplify] // ToRadicals Table[Floor[N[f[n]]], {n, 0, 25}]
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CROSSREFS
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Sequence in context: A109165 A018344 A087640 this_sequence A099516 A099963 A112855
Adjacent sequences: A116950 A116951 A116952 this_sequence A116954 A116955 A116956
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Apr 03 2006
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EXTENSIONS
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Edited by njas, May 04 2006
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