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Search: id:A048879
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| A048879 |
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Generalized Pellian with second term of 10. |
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+0
2
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| 1, 10, 41, 174, 737, 3122, 13225, 56022, 237313, 1005274, 4258409, 18038910, 76414049, 323695106, 1371194473, 5808472998
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=[ (8+sqrt(5))(2+sqrt(5))^n - (8-sqrt(5))(2-sqrt(5))^n ]2*sqrt(5).
a(n)=4*a(n-1)+a(n-2); a(0)=1, a(1)=10 . G.f.: (1+6*x)/(1-4*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 03 2008]
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MAPLE
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with(combinat): a:=n->6*fibonacci(n-1, 4)+fibonacci(n, 4): seq(a(n), n=1..16); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 04 2008
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CROSSREFS
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Cf. A015448, A001077, A001076, A033887.
Sequence in context: A006323 A102784 A061003 this_sequence A089211 A041188 A113683
Adjacent sequences: A048876 A048877 A048878 this_sequence A048880 A048881 A048882
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KEYWORD
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easy,nice,nonn
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AUTHOR
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Barry E. Williams
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