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A309454
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The successive approximations up to 7^n for 7-adic integer 6^(1/5).
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10
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0, 6, 20, 265, 1980, 11584, 11584, 246882, 1070425, 29894430, 29894430, 1159795426, 9069102398, 9069102398, 202847123212, 2237516341759, 2237516341759, 201635099759365, 1132157155708193, 6017397949439540, 17416293134812683, 496169890920484689, 1613261619087052703
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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) = 6, a(n) = a(n-1) + 4 * (a(n-1)^5 - 6) mod 7^n for n > 1.
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EXAMPLE
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a(1) = ( 6)_7 = 6,
a(2) = ( 26)_7 = 20,
a(3) = ( 526)_7 = 265,
a(4) = (5526)_7 = 1980.
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PROG
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(PARI) {a(n) = truncate((6+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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