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Search: id:A099868
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| A099868 |
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a(n) = 5a(n - 1) - a(n - 2), a(0) = 3, a(1) = 25. |
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+0
2
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| 3, 25, 122, 585, 2803, 13430, 64347, 308305, 1477178, 7077585, 33910747, 162476150, 778470003, 3729873865, 17870899322, 85624622745, 410252214403, 1965636449270, 9417930031947, 45124013710465, 216202138520378
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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A. F. Horadam, Pell Identities, Fib. Quart., Vol. 9, No. 3, 1971, pps. 245-252.
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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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|2*A099867(n) + a(n) - A003501(n+1)| = 20*A004254(n)
G.f.=(3+10x)/(1-5x+x^2). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 03 2004
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MAPLE
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a[0]:=3: a[1]:=25: for n from 2 to 30 do a[n]:=5*a[n-1]-a[n-2] od: seq(a[n], n=0..25);
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP
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CROSSREFS
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Cf. A099868, A003501, A004254.
Sequence in context: A059457 A165206 A095664 this_sequence A112495 A034578 A144646
Adjacent sequences: A099865 A099866 A099867 this_sequence A099869 A099870 A099871
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KEYWORD
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easy,nonn
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Oct 28 2004
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 03 2004
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