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A006483
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Fibonacci(n)*2^n + 1.
(Formerly M2502)
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6
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1, 3, 5, 17, 49, 161, 513, 1665, 5377, 17409, 56321, 182273, 589825, 1908737, 6176769, 19988481, 64684033, 209321985, 677380097, 2192048129, 7093616641, 22955425793, 74285318145, 240392339457, 777925951489, 2517421260801, 8146546327553, 26362777698305
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| 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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FORMULA
| G.f.: [ -1+6x^2]/[(1-x)(1-2x-4x^2)].
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MAPLE
| A006483:=-(-1+6*z**2)/(z-1)/(4*z**2+2*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
| lst={}; Do[AppendTo[lst, Fibonacci[n]*2^n+1], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 19 2008]
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CROSSREFS
| Cf. A063727, A087206.
Equals A103435 + 1.
Sequence in context: A005142 A165452 A106063 * A177960 A049540 A097144
Adjacent sequences: A006480 A006481 A006482 * A006484 A006485 A006486
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KEYWORD
| nonn,easy
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AUTHOR
| Dennis S. Kluk (mathemagician(AT)ameritech.net)
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