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Search: id:A015535
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| A015535 |
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Linear 2nd order recurrence. |
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+0
4
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| 0, 1, 5, 27, 145, 779, 4185, 22483, 120785, 648891, 3486025, 18727907, 100611585, 540513739, 2903791865, 15599986803, 83807517745, 450237562331, 2418802847145, 12994489360387, 69810052496225, 375039241201899
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = 5 a(n-1) + 2 a(n-2).
a(n)=(1/33)*sqrt(33)*{[(5/2)+(1/2)*sqrt(33)]^n-[(5/2)-(1/2)*sqrt(33)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 13 2009]
G.f.: x/(1-5*x-2*x^2). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 07 2009]
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PROGRAM
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(Other) sage: [lucas_number1(n, 5, -2) for n in xrange(0, 22)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
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Sequence in context: A084177 A037675 A052225 this_sequence A026292 A100193 A158869
Adjacent sequences: A015532 A015533 A015534 this_sequence A015536 A015537 A015538
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KEYWORD
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nonn,easy
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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