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A309451
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The successive approximations up to 7^n for 7-adic integer 3^(1/5).
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10
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0, 5, 26, 75, 1104, 3505, 20312, 20312, 4961570, 28020774, 229788809, 512264058, 2489590801, 71696026806, 71696026806, 71696026806, 19061942066578, 218459525484184, 451090039471391
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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) = 5, a(n) = a(n-1) + 2 * (a(n-1)^5 - 3) mod 7^n for n > 1.
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EXAMPLE
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a(1) = ( 5)_7 = 5,
a(2) = ( 35)_7 = 26,
a(3) = ( 135)_7 = 75,
a(4) = (3135)_7 = 1104.
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PROG
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(PARI) {a(n) = truncate((3+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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