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Search: id:A158510
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| A158510 |
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Generalized Fibonacci numbers Fib(n + 0.5) rounded to an integer. |
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+0
1
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| 1, 1, 1, 2, 4, 6, 10, 17, 27, 43, 70, 113, 183, 296, 480, 776, 1255, 2031, 3287, 5318, 8605, 13924, 22529, 36452, 58981, 95433, 154414, 249848, 404262, 654109, 1058371, 1712481, 2770852, 4483332, 7254184, 11737517, 18991701, 30729218, 49720919
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Generalized Fib(x) = (Phi^x - cos(x*Pi) / Phi^x) / sqrt(5) where Phi = (1 + Sqrt(5))/2.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,500
Generalized Fibonacci numbers
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EXAMPLE
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a(7) = 17 because Fib(7.5) = 16.51666... which rounds to 17.
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PROGRAM
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(PARI) { default(realprecision, 130); s5 = sqrt(5); phi = (1 + s5)/2.0; for (n=0, 500, x=n+0.5; f = round((phi^x - cos(x*Pi) / phi^x) / s5); write("b158510.txt", n, " ", f)) }
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CROSSREFS
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Sequence in context: A070689 A091611 A107742 this_sequence A004695 A014216 A079961
Adjacent sequences: A158507 A158508 A158509 this_sequence A158511 A158512 A158513
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KEYWORD
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nonn
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AUTHOR
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Harry J. Smith (hjsmithh(AT)sbcglobal.net), Mar 20 2009
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