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Search: id:A048878
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| A048878 |
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Generalized Pellian with second term of 9. |
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+0
3
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| 1, 9, 37, 157, 665, 2817, 11933, 50549, 214129, 907065, 3842389, 16276621, 68948873, 292072113, 1237237325, 5241021413
(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)=[ (7+sqrt(5))(2+sqrt(5))^n - (7-sqrt(5))(2-sqrt(5))^n ]/2*sqrt(5).
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EXAMPLE
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a(n)=4a(n-1)+a(n-2); a(0)=1, a(1)=9.
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MAPLE
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with(combinat): a:=n->5*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.
Adjacent sequences: A048875 A048876 A048877 this_sequence A048879 A048880 A048881
Sequence in context: A137184 A022276 A026620 this_sequence A026686 A076174 A117085
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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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