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Search: id:A006492
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| A006492 |
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Generalized Lucas numbers.
(Formerly M3751)
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+0
2
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| 1, 0, 5, 6, 21, 40, 93, 190, 396, 796, 1586, 3108, 6025, 11552, 21947, 41346, 77311, 143580, 265013, 486398, 888122, 1613944, 2920100, 5261880, 9445905, 16897328, 30127665
(list; graph; listen)
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OFFSET
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3,3
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REFERENCES
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L. Carlitz and R. Scoville, Zero-one sequences and Fibonacci numbers, Fib. Quart., 15 (1977), 246-254.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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-x)^2(1-2x+x^2)]/[(1-x-x^2)^4]. - Ralf Stephan, Apr 23 2004
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MAPLE
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A006492:=(1-2*z+2*z**2)*(z-1)**2/(z**2+z-1)**4; [S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A037951 A095308 A132796 this_sequence A110344 A135301 A030672
Adjacent sequences: A006489 A006490 A006491 this_sequence A006493 A006494 A006495
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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