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Search: id:A000964
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| A000964 |
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A ternary continued fraction.
(Formerly M3343 N1345)
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+0
2
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| 0, 0, 1, 1, 4, 8, 25, 53, 164, 348, 1077, 2285, 7072, 15004, 46437, 98521, 304920, 646920, 2002201, 4247881, 13147084, 27892928, 86327905, 183153773, 566856284, 1202645508, 3722157357, 7896950165, 24440860552, 51853868404, 160486408077
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
D. N. Lehmer, On ternary continued fractions, Tohoku Math. J., 37 (1933), 436-445.
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FORMULA
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G.f.: (x^5 - 3x^4 + x^3 + x^2)/(-x^6 + 3x^4 - 7x^2 + 1)
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MAPLE
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G:=(x^5-3*x^4+x^3+x^2)/(-x^6+3*x^4-7*x^2+1): Gser:=series(G, x=0, 35): seq(coeff(Gser, x, n), n=0..32); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 22 2006
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CROSSREFS
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Sequence in context: A163143 A154586 A068367 this_sequence A107840 A046736 A074188
Adjacent sequences: A000961 A000962 A000963 this_sequence A000965 A000966 A000967
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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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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 22 2006
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