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A007572
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Generalization of the golden ratio (expansion of (5-13x)/((1+x)(1-4x))).
(Formerly M3735)
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1
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5, 2, 26, 86, 362, 1430, 5738, 22934, 91754, 366998, 1468010, 5872022, 23488106, 93952406, 375809642, 1503238550, 6012954218, 24051816854, 96207267434, 384829069718, 1539316278890, 6157265115542, 24629060462186
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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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).
A. K. Whitford, A generalization of the golden ratio, J. Rec. Math., 8 (No. 3, 1975-1976), 203-207.
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LINKS
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FORMULA
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MATHEMATICA
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CoefficientList[Series[(5-13x)/((1+x)(1-4x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{3, 4}, {5, 2}, 30] (* Harvey P. Dale, Apr 15 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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