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Search: id:A048695
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| A048695 |
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Generalized Pellian with second term equal to 8. |
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+0
4
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| 1, 8, 17, 42, 101, 244, 589, 1422, 3433, 8288, 20009, 48306, 116621, 281548, 679717, 1640982, 3961681, 9564344, 23090369, 55745082, 134580533, 324906148, 784392829, 1893691806, 4571776441, 11037244688
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=2*a(n-1)+a(n-2); a(0)=1, a(1)=8.
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EXAMPLE
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a(n)=[ (7+sqrt(2))(1+sqrt(2))^n - (7-sqrt(2))(1-sqrt(2))^n ]/2*sqrt(2)
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MAPLE
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with(combinat): a:=n->6*fibonacci(n-1, 2)+fibonacci(n, 2): seq(a(n), n=1..26); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 04 2008
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CROSSREFS
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Cf. A001333, A000129, A048654, A048655.
Sequence in context: A049713 A041849 A041124 this_sequence A111325 A008782 A097058
Adjacent sequences: A048692 A048693 A048694 this_sequence A048696 A048697 A048698
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KEYWORD
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easy,nonn
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AUTHOR
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Barry E. Williams
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