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A007572 Generalization of the golden ratio (expansion of (5-13x)/((1+x)(1-4x))).
(Formerly M3735)
1
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)
OFFSET
0,1
REFERENCES
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.
LINKS
A. K. Whitford, A generalization of the golden ratio, J. Rec. Math., 8 (No. 3, 1975-1976), 203-207. (Annotated scanned copy)
FORMULA
a(0)=5, a(1)=2, a(n)=3*a(n-1)+4*a(n-2). [Harvey P. Dale, Apr 15 2012]
MATHEMATICA
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 *)
CROSSREFS
Sequence in context: A202141 A100080 A117734 * A297812 A360546 A347379
KEYWORD
nonn
AUTHOR
EXTENSIONS
Clarified definition by Harvey P. Dale, Apr 15 2012
STATUS
approved

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Last modified March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)