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Search: id:A006493
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| A006493 |
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Generalized Lucas numbers.
(Formerly M4063)
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+0
2
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| 1, 0, 6, 7, 28, 54, 135, 286, 627, 1313, 2730, 5565, 11212, 22304, 43911, 85614, 165490, 317373, 604296, 1143054, 2149074, 4017950, 7473180, 13832910, 25490115, 46774448
(list; graph; listen)
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OFFSET
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3,3
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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.
L. Carlitz and R. Scoville, Zero-one sequences and Fibonacci numbers, Fib. Quart., 15 (1977), 246-254.
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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. has denominator (1-x-x^2)^5.
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MAPLE
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A006493:=(1-2*z+2*z**2)*(z-1)**3/(z**2+z-1)**5; [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A042419 A037956 A095369 this_sequence A037375 A041553 A047190
Adjacent sequences: A006490 A006491 A006492 this_sequence A006494 A006495 A006496
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KEYWORD
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nonn
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AUTHOR
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njas
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