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Search: id:A005593
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| A005593 |
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a(n) = (F(2n+1)+F(2n-1)+F(n+3)-2)/2, where F() = Fibonacci numbers A000045.
(Formerly M1414)
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+0
1
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| 2, 5, 12, 29, 71, 177, 448, 1147, 2960, 7679, 19989, 52145, 136214, 356121, 931540, 2437513, 6379403, 16698113, 43710756, 114427391, 299560472, 784236315, 2053119817, 5375076769, 14072035466, 36840908237, 96450492828, 252510252437
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
M. D. McIlroy, The number of states of a dynamic storage system, Computer J., 25 (No. 3, 1982), 388-392.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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MAPLE
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A005593:=-(-2+5*z-z**2-2*z**3+z**4)/(z-1)/(z**2+z-1)/(z**2-3*z+1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
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Map[(Fibonacci[2#1+1]+Fibonacci[2#1-1]+Fibonacci[ #1+3]-2)/2&, Range[50]]
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CROSSREFS
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Sequence in context: A054198 A054196 A131710 this_sequence A122745 A010374 A025273
Adjacent sequences: A005590 A005591 A005592 this_sequence A005594 A005595 A005596
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from Gabriel Cunningham (gcasey(AT)mit.edu), Oct 25 2004
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