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A107599
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a(n) = 0,1,2 (resp.) if (1/2)[prime(n-1)+prime(n+1)] is less than, equal to or greater than prime(n) (resp.).
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0
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2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0
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OFFSET
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2,1
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LINKS
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EXAMPLE
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Prime[100]=541, (Prime[100 - 1] + Prime[100 + 1])/2=(523+547)/2=535<541, hence a(100)=0.
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MATHEMATICA
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Table[If[(Prime[n-1]+Prime[n+1])/2<Prime[n], 0, If[(Prime[n-1]+Prime[n+1])/2==Prime[n], 1, 2]], {n, 2, 100}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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