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A249910
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Digital root of A003500(n).
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0
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2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4, 2, 4, 5, 7, 5, 4
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OFFSET
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0,1
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COMMENTS
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Periodic with cycle of length 6: {2,4,5,7,5,4}. a(n) may be expressed as the decimal expansion of 246/1001. Sequence is palindromic.
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LINKS
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Table of n, a(n) for n=0..101.
Index entries for linear recurrences with constant coefficients, signature (1, 0, -1, 1).
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FORMULA
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a(n) = 4*a(n-1) - a(n-2), reduced to digital root.
a(n) = digital root of (2 + sqrt(3))^n + ( 2 - sqrt(3))^n.
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MATHEMATICA
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LinearRecurrence[{1, 0, -1, 1}, {2, 4, 5, 7}, 102] (* Ray Chandler, Jul 25 2016*)
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CROSSREFS
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Cf. A010888, A003500.
Sequence in context: A257433 A005532 A026202 * A025511 A224367 A308219
Adjacent sequences: A249907 A249908 A249909 * A249911 A249912 A249913
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KEYWORD
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nonn,base
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AUTHOR
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Peter M. Chema, Dec 17 2014
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EXTENSIONS
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More terms from Ray Chandler, Jul 25 2016
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STATUS
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approved
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