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A006269
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A continued cotangent.
(Formerly M4028)
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10
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OFFSET
| 0,1
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REFERENCES
| Shallit, Jeffrey; Predictable regular continued cotangent expansions. J. Res. Nat. Bur. Standards Sect. B 80B (1976), no. 2, 285-290.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| Contribution from Artur Jasinski (grafix(AT)csl.pl), Oct 03 2008: (Start)
Recurrence: a(n+1)=a(n)^3+3*a(n) and a(0)=5
or
a(n)=Table[Round[(5/2 + Sqrt[29]/2)^(3^(n - 1))], {n, 1, 8}] (*Artur Jasinski*) (End)
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MATHEMATICA
| 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
or
Table[Round[(5/2 + Sqrt[29]/2)^(3^(n - 1))], {n, 1, 8}] (*Artur Jasinski*) (End)
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CROSSREFS
| Sequence in context: A193756 A136464 A203523 * A066264 A171776 A037049
Adjacent sequences: A006266 A006267 A006268 * A006270 A006271 A006272
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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