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A204689
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a(n) = n^n (mod 4).
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3
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1, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0
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OFFSET
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0,4
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COMMENTS
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Periodic for n>0 with period 4 = A174824(4): repeat [1, 0, 3, 0].
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LINKS
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FORMULA
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G.f.: (1+x+3x^3-x^4)/(1-x^4).
a(n) = (1-(-1)^n)*(2+i^(n+1))/2 with i=sqrt(-1), a(0)=1.
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MAPLE
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MATHEMATICA
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Table[PowerMod[n, n, 4], {n, 0, 140}]
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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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STATUS
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approved
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