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Search: id:A015564
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| A015564 |
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Linear 2nd order recurrence. |
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+0
1
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| 0, 1, 7, 55, 427, 3319, 25795, 200479, 1558123, 12109735, 94116883, 731476591, 5685037435, 44184121591, 343399075747, 2668898259775, 20742682272907, 161212165468999, 1252941251920435, 9737861756257039, 75682679805321883
(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) = 7 a(n-1) + 6 a(n-2).
a(n)=(1/73)*[7/2+(1/2)*sqrt(73)]^n*sqrt(73)-(1/73)*sqrt(73)*[7/2-(1/2)*sqrt(73)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 25 2008
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PROGRAM
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(Other) sage: [lucas_number1(n, 7, -6) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
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Sequence in context: A062212 A121183 A069404 this_sequence A070997 A122372 A083068
Adjacent sequences: A015561 A015562 A015563 this_sequence A015565 A015566 A015567
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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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