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Search: id:A041613
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| A041613 |
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Denominators of continued fraction convergents to sqrt(325). |
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+0
3
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| 1, 36, 1297, 46728, 1683505, 60652908, 2185188193, 78727427856, 2836372591009, 102188140704180, 3681609437941489, 132640127906597784, 4778726214075461713, 172166783834623219452, 6202782944260511361985
(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)=F(n, 36), the n-th Fibonacci polynomial evaluated at x=36. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006
a(n)=36*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=36 . G.f.: 1/(1-36*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
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MAPLE
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with (combinat):seq(fibonacci(3*n, 3)/10, n=1..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 20 2008
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MATHEMATICA
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a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*36, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 27 2009]
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CROSSREFS
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Cf. A041612.
Sequence in context: A158700 A144128 A009980 this_sequence A158739 A099366 A095657
Adjacent sequences: A041610 A041611 A041612 this_sequence A041614 A041615 A041616
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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