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A070400
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a(n) = 6^n mod 37.
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1
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1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31, 1, 6, 36, 31
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = a(n-1) - a(n-2) + a(n-3).
G.f.: ( -1-5*x-31*x^2 ) / ( (x-1)*(1+x^2) ). (End)
a(n) = a(n-4).
a(n) = (1/2)*(37 - 35*cos(n*Pi/2) - 25*sin(n*Pi/2)).
E.g.f.: (1/2)*(37*exp(x) - 35*cos(x) - 25*sin(x)). (End)
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MATHEMATICA
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PROG
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(Sage) [power_mod(6, n, 37)for n in range(0, 84)] # Zerinvary Lajos, Nov 27 2009
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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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