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A324029
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Digits of one of the two 5-adic integers sqrt(-6) that is related to A324027.
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7
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2, 2, 1, 1, 2, 3, 2, 4, 3, 1, 0, 0, 1, 3, 1, 3, 4, 2, 3, 2, 3, 2, 4, 4, 2, 3, 3, 0, 1, 1, 3, 1, 1, 1, 3, 1, 2, 3, 2, 3, 4, 1, 0, 2, 4, 4, 3, 4, 0, 3, 2, 0, 2, 0, 2, 0, 3, 2, 0, 0, 4, 2, 4, 4, 0, 4, 4, 4, 3, 1, 4, 2, 2, 4, 2, 0, 0, 0, 3, 0, 4, 3, 2, 4, 3, 3, 4, 0
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OFFSET
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0,1
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COMMENTS
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This square root of -6 in the 5-adic field ends with digit 2. The other, A324030, ends with digit 3.
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LINKS
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FORMULA
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EXAMPLE
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The solution to x^2 == -6 (mod 5^4) such that x == 2 (mod 5) is x == 162 (mod 5^4), and 162 is written as 1122 in quinary, so the first four terms are 2, 2, 1 and 1.
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PROG
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(PARI) a(n) = truncate(sqrt(-6+O(5^(n+1))))\5^n
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CROSSREFS
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Digits of 5-adic square roots:
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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