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Search: id:A048693
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| A048693 |
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Generalized Pellian with 2nd term equal to 6. |
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+0
4
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| 1, 6, 13, 32, 77, 186, 449, 1084, 2617, 6318, 15253, 36824, 88901, 214626, 518153, 1250932, 3020017, 7290966, 17601949, 42494864, 102591677, 247678218, 597948113, 1443574444, 3485097001, 8413768446
(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)=6.
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EXAMPLE
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a(n)=[ (5+sqrt(2))(1+sqrt(2))^n-(5-sqrt(2))(1-sqrt(2))^n ]/2*sqrt(2)
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MAPLE
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with(combinat): a:=n->4*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.
Adjacent sequences: A048690 A048691 A048692 this_sequence A048694 A048695 A048696
Sequence in context: A101622 A042607 A084381 this_sequence A041068 A037243 A107710
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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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