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A070688
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a(n) = n^6 mod 48.
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0
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0, 1, 16, 9, 16, 25, 0, 1, 16, 33, 16, 25, 0, 25, 16, 33, 16, 1, 0, 25, 16, 9, 16, 1, 0, 1, 16, 9, 16, 25, 0, 1, 16, 33, 16, 25, 0, 25, 16, 33, 16, 1, 0, 25, 16, 9, 16, 1, 0, 1, 16, 9, 16, 25, 0, 1, 16, 33, 16, 25, 0, 25, 16, 33, 16, 1, 0, 25, 16, 9, 16, 1, 0, 1, 16, 9, 16, 25, 0, 1, 16
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..80.
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,1).
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FORMULA
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From Chai Wah Wu, Sep 02 2020: (Start)
a(n) = a(n-6) - a(n-12) + a(n-18) for n > 17.
G.f.: -x*(x^16 + 16*x^15 + 9*x^14 + 16*x^13 + 25*x^12 + 24*x^8 + 25*x^4 + 16*x^3 + 9*x^2 + 16*x + 1)/(x^18 - x^12 + x^6 - 1). (End)
Period 24: repeat [0, 1, 16, 9, 16, 25, 0, 1, 16, 33, 16, 25, 0, 25, 16, 33, 16, 1, 0, 25, 16, 9, 16, 1]. - Alois P. Heinz, Sep 02 2020
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PROG
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(PARI) a(n)=n^6%48 \\ Charles R Greathouse IV, Apr 06 2016
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CROSSREFS
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Sequence in context: A302518 A070567 A257796 * A281719 A103167 A303317
Adjacent sequences: A070685 A070686 A070687 * A070689 A070690 A070691
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, May 13 2002
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STATUS
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approved
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