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Search: id:A006269
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| A006269 |
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A continued cotangent.
(Formerly M4028)
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+0
11
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| 5, 140, 2744420, 20670535451567121260, 8831921094058107711185956797335984862612406515067837739780
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Shallit, Jeffrey; Predictable regular continued cotangent expansions. J. Res. Nat. Bur. Standards Sect. B 80B (1976), no. 2, 285-290.
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FORMULA
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Contribution from Artur Jasinski (grafix(AT)csl.pl), Oct 03 2008: (Start)
Recurence: Recurence: a(n+1)=a(n)3+3a(n) and a(0)=5
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a(n)=Table[Round[(5/2 + Sqrt[29]/2)^(3^(n - 1))], {n, 1, 8}] (*Artur Jasinski*) (End)
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MATHEMATICA
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Contribution from Artur Jasinski (grafix(AT)csl.pl), Oct 03 2008: (Start)
a = {}; k = 5; Do[AppendTo[a, k]; k = k^3 + 3 k, {n, 1, 8}]; a
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Table[Round[(5/2 + Sqrt[29]/2)^(3^(n - 1))], {n, 1, 8}] (*Artur Jasinski*) (End)
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CROSSREFS
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Adjacent sequences: A006266 A006267 A006268 this_sequence A006270 A006271 A006272
Sequence in context: A054323 A061320 A136464 this_sequence A066264 A037049 A134503
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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