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Search: id:A085487
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| A085487 |
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a(n) = p^n + q^n, p = (1 + sqrt 21)/2 = 2.791287847...; q = (1 - sqrt 21)/2 = - 1.791287847... |
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1
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OFFSET
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1,2
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COMMENT
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p + q = 1, p*q = -5, p - q = sqrt 21.
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REFERENCES
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Thomas Koshy, "Fibonacci and Lucas Numbers with Applications", Wiley, 2001, p. 471.
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EXAMPLE
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a(5) = 151 = p^5 + q^5, with p = 2.79128...; q = -1.79128...
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PROGRAM
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(Other) sage: [lucas_number2(n, 1, -5) for n in xrange(1, 11)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 14 2009]
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CROSSREFS
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Cf. A015440.
Sequence in context: A032221 A032146 A032051 this_sequence A166663 A032327 A032075
Adjacent sequences: A085484 A085485 A085486 this_sequence A085488 A085489 A085490
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 02 2003
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