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A219161
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Recurrence equation a(n+1) = a(n)^3 - 3*a(n) with a(0) = 5.
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6
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OFFSET
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0,1
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COMMENTS
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For some general remarks on this recurrence see A001999.
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LINKS
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FORMULA
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a(n) = (1/2*(5 + sqrt(21)))^(3^n) + (1/2*(5 - sqrt(21)))^(3^n).
Product_{n = 0..inf} (1 + 2/(a(n) - 1)) = sqrt(7/3).
a(n) = 2*T(3^n,5/2), where T(n,x) denotes the n-th Chebyshev polynomial of the first kind. Cf. A001999. - Peter Bala, Feb 01 2017
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MATHEMATICA
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RecurrenceTable[{a[n] == a[n - 1]^3 - 3*a[n - 1], a[0] == 5}, a, {n,
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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