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A048879
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Generalized Pellian with second term of 10.
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1
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1, 10, 41, 174, 737, 3122, 13225, 56022, 237313, 1005274, 4258409, 18038910, 76414049, 323695106, 1371194473, 5808472998, 24605086465, 104228818858, 441520361897, 1870310266446, 7922761427681, 33561355977170, 142168185336361, 602234097322614
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
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FORMULA
| 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
| 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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MATHEMATICA
| LinearRecurrence[{4, 1}, {1, 10}, 30] (* From Harvey P. Dale, Jul 18 2011 *)
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CROSSREFS
| Cf. A015448, A001077, A001076, A033887.
Sequence in context: A178073 A102784 A061003 * A089211 A041188 A113683
Adjacent sequences: A048876 A048877 A048878 * A048880 A048881 A048882
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KEYWORD
| easy,nice,nonn
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AUTHOR
| Barry E. Williams
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EXTENSIONS
| More terms from Harvey P. Dale, Jul 18 2011
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