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Search: id:A006603
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| A006603 |
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Generalized Fibonacci numbers.
(Formerly M1771)
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+0
4
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| 1, 2, 7, 26, 107, 468, 2141, 10124, 49101, 242934, 1221427, 6222838, 32056215, 166690696, 873798681, 4612654808, 24499322137, 130830894666, 702037771647, 3783431872018, 20469182526595, 111133368084892, 605312629105205
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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D. G. Rogers, A Schroeder triangle: three combinatorial problems, in "Combinatorial Mathematics V (Melbourne 1976)", Lect. Notes Math. 622 (1976), pp. 175-196.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
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G.f.: [1-x-2x^2-sqrt(1-6x+x^2)]/[2x(1-x+x^2+x^3)]
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CROSSREFS
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a(n) = abs(A080244(n-1)).
Sequence in context: A000151 A150568 A102319 this_sequence A080244 A124542 A003447
Adjacent sequences: A006600 A006601 A006602 this_sequence A006604 A006605 A006606
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 28 2004
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