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A239131
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A sequence with period length 54; the companion of x(n) = A239130(n), the smallest positive solution of 3^4*x - 2^n*y = 1 for n >= 0.
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2
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80, 40, 20, 10, 5, 43, 62, 31, 56, 28, 14, 7, 44, 22, 11, 46, 23, 52, 26, 13, 47, 64, 32, 16, 8, 4, 2, 1, 41, 61, 71, 76, 38, 19, 50, 25, 53, 67, 74, 37, 59, 70, 35, 58, 29, 55, 68, 34, 17, 49, 65, 73, 77, 79, 80, 40, 20, 10, 5, 43, 62, 31, 56, 28, 14, 7, 44
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OFFSET
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0,1
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COMMENTS
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The first 54 = phi(3^4) values of a(n) = y0(4, n) have been given, with phi(n) = A000010(n). They give a permutation of the smallest positive restricted residue class modulo 3^4.
The companion sequence is x0(4, n) = x(n) = A239130(n), n >= 0.
One could give a lengthy G.f.
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LINKS
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FORMULA
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a(n) = y0(4, n) == ((3^4 + 1)/2)^(n + 3^3) (mod 3^4), n >= 0.
a(n + 54) = a(n), n >= 0.
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EXAMPLE
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a(0) = 41^27 (mod 81) = 80.
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MATHEMATICA
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PROG
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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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EXTENSIONS
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STATUS
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approved
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