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A318962
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Digits of one of the two 2-adic integers sqrt(-7) that ends in 01.
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9
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1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1
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OFFSET
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0,1
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COMMENTS
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Over the 2-adic integers there are 2 solutions to x^2 = -7, one ends in 01 and the other ends in 11. This sequence gives the former one. See A318960 for detailed information.
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LINKS
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FORMULA
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a(0) = 1, a(1) = 0; for n >= 2, a(n) = 0 if A318960(n)^2 + 7 is divisible by 2^(n+2), otherwise 1.
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EXAMPLE
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...10110001110011100100110001100000010110101.
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PROG
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(PARI) a(n) = truncate(-sqrt(-7+O(2^(n+2))))\2^n
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CROSSREFS
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Digits of p-adic integers:
this sequence, A318963 (2-adic, sqrt(-7));
Also there are numerous sequences related to digits of 10-adic integers.
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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