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A322087
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Digits of one of the two 13-adic integers sqrt(3).
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12
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4, 8, 6, 8, 12, 2, 1, 9, 9, 10, 1, 6, 4, 10, 6, 11, 11, 9, 5, 5, 0, 5, 2, 5, 8, 0, 8, 7, 3, 5, 3, 12, 0, 3, 10, 3, 5, 8, 1, 12, 11, 8, 7, 0, 3, 1, 4, 9, 9, 9, 1, 10, 6, 12, 2, 7, 3, 5, 1, 6, 12, 1, 1, 12, 10, 5, 6, 11, 7, 8, 12, 10, 1, 3, 5, 5, 5, 7, 11, 1, 5
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OFFSET
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0,1
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COMMENTS
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This square root of 3 in the 13-adic field ends with digit 4. The other, A322088, ends with digit 9.
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LINKS
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FORMULA
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This 13-adic integer is the 13-adic limit as n -> oo of the integer sequence {2*T(13^n,2)}, where T(n,x) denotes the n-th Chebyshev polynomial. - Peter Bala, Dec 04 2022
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EXAMPLE
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...BC1853A30C35378085250559BB6A461A9912C8684.
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PROG
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(PARI) a(n) = truncate(sqrt(3+O(13^(n+1))))\13^n
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CROSSREFS
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Digits of p-adic integers:
this sequence, A322088 (13-adic, sqrt(3));
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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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