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Search: id:A048694
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| A048694 |
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Generalized Pellian with second term equal to 7. |
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+0
6
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| 1, 7, 15, 37, 89, 215, 519, 1253, 3025, 7303, 17631, 42565, 102761, 248087, 598935, 1445957, 3490849, 8427655, 20346159, 49119973, 118586105, 286292183, 691170471, 1668633125, 4028436721, 9725506567
(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)=2*a(n-1)+a(n-2); a(0)=1, a(1)=7.
G.f.: (1+5*x)/(1-2*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 03 2008]
a(n)=((1+sqrt18)(1+sqrt2)^n+(1-sqrt18)(1-sqrt2)^n)/2 offset 0. a(n)=first binomial transform of 1,6,2,12,4,24 [From Al Hakanson (hawkuu(AT)gmail.com), Aug 01 2009]
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EXAMPLE
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a(n)=[ (6+sqrt(2))(1+sqrt(2))^n - (6-sqrt(2))(1-sqrt(2))^n ]/2*sqrt(2)
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MAPLE
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with(combinat): a:=n->5*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: A159792 A146837 A146044 this_sequence A041094 A042287 A145978
Adjacent sequences: A048691 A048692 A048693 this_sequence A048695 A048696 A048697
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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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