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A322561
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Digits of one of the two 17-adic integers sqrt(2) that is related to A322559.
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6
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6, 14, 14, 8, 5, 4, 14, 14, 7, 2, 15, 15, 11, 5, 6, 7, 2, 14, 6, 14, 15, 16, 3, 8, 14, 5, 12, 16, 0, 4, 7, 0, 8, 10, 2, 16, 16, 15, 9, 7, 12, 9, 14, 14, 5, 12, 3, 4, 7, 9, 9, 2, 2, 14, 5, 9, 12, 6, 2, 10, 5, 0, 10, 10, 11, 11, 2, 3, 14, 10, 11, 2, 6, 12, 0, 4
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OFFSET
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0,1
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COMMENTS
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This square root of 2 in the 17-adic field ends with digit 6. The other, A322562, ends with digit 11 (B when written as a 17-adic number).
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LINKS
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FORMULA
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EXAMPLE
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The solution to x^2 == 2 (mod 17^4) such that x == 6 (mod 17) is x == 43594 (mod 17^4), and 43594 is written as 8EE6 in heptadecimal, so the first four terms are 6, 14, 14 and 8.
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PROG
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(PARI) a(n) = truncate(sqrt(2+O(17^(n+1))))\17^n
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CROSSREFS
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Digits of 17-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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