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A322092
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Digits of one of the two 13-adic integers sqrt(-3).
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7
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7, 9, 0, 6, 2, 5, 8, 8, 3, 4, 3, 10, 4, 7, 0, 9, 7, 8, 12, 6, 7, 11, 10, 6, 7, 3, 8, 3, 11, 11, 8, 6, 1, 9, 11, 0, 7, 10, 10, 6, 9, 1, 1, 4, 8, 7, 2, 2, 5, 3, 7, 5, 5, 5, 4, 12, 11, 12, 5, 5, 12, 3, 0, 2, 4, 11, 6, 11, 10, 2, 10, 3, 5, 10, 11, 2, 1, 8, 9, 7, 6
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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 7. The other, A322091, ends with digit 6.
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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 {L(13^n,7)}, where L(n,x) denotes the n-th Lucas polynomial, the n-th row polynomial of A114525. - Peter Bala, Dec 05 2022
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EXAMPLE
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...96AA70B9168BB38376AB76C879074A34388526097.
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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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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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