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Search: id:A006483
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| A006483 |
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Fibonacci(n)*2^n + 1.
(Formerly M2502)
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+0
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; listen)
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OFFSET
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0,2
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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.
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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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FORMULA
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G.f.: [ -1+6x^2]/[(1-x)(1-2x-4x^2)].
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MAPLE
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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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CROSSREFS
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Cf. A063727, A087206.
Equals A103435 + 1.
Sequence in context: A131342 A005142 A106063 this_sequence A049540 A097144 A085749
Adjacent sequences: A006480 A006481 A006482 this_sequence A006484 A006485 A006486
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KEYWORD
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nonn,easy
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AUTHOR
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Dennis S. Kluk (mathemagician(AT)ameritech.net)
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