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A309452
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The successive approximations up to 7^n for 7-adic integer 4^(1/5).
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10
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0, 2, 9, 107, 450, 450, 67678, 655923, 2303009, 13832611, 54186218, 1749037712, 13612998170, 27454285371, 124343295778, 4193681732872, 18436366262701, 217833949680307, 1380986519616342, 3009400117526791, 3009400117526791, 162593932712750793, 3513869117212454835
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OFFSET
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0,2
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LINKS
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FORMULA
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a(0) = 0 and a(1) = 2, a(n) = a(n-1) + 2 * (a(n-1)^5 - 4) mod 7^n for n > 1.
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EXAMPLE
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a(1) = ( 2)_7 = 2,
a(2) = ( 12)_7 = 9,
a(3) = ( 212)_7 = 107,
a(4) = (1212)_7 = 450.
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PROG
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(PARI) {a(n) = truncate((4+O(7^n))^(1/5))}
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CROSSREFS
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Expansions of p-adic integers:
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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