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 A309445 Coefficients in 7-adic expansion of 2^(1/5). 11
 4, 6, 1, 3, 6, 4, 3, 5, 4, 6, 5, 4, 0, 0, 6, 4, 3, 4, 5, 6, 2, 2, 2, 0, 6, 5, 5, 0, 3, 1, 1, 4, 0, 4, 6, 2, 0, 6, 0, 3, 6, 3, 2, 5, 4, 6, 4, 0, 5, 5, 2, 1, 4, 3, 4, 1, 0, 1, 1, 6, 0, 4, 1, 6, 0, 4, 5, 1, 1, 6, 2, 5, 2, 3, 0, 6, 1, 3, 6, 4, 0, 6, 2, 6, 4, 2, 0, 1, 6, 3, 6, 5, 1, 2, 4, 3, 3, 0, 4, 6, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Robert Israel, Table of n, a(n) for n = 0..10000 MAPLE op([1, 3], padic:-rootp(x^5-2, 7, 101)); # Robert Israel, Aug 04 2019 PROG (Ruby) require 'OpenSSL' def f_a(ary, a)   (0..ary.size - 1).inject(0){|s, i| s + ary[i] * a ** i} end def df(ary)   (1..ary.size - 1).map{|i| i * ary[i]} end def A(c_ary, k, m, n)   x = OpenSSL::BN.new((-f_a(df(c_ary), k)).to_s).mod_inverse(m).to_i % m   f_ary = c_ary.map{|i| x * i}   f_ary[1] += 1   d_ary = []   ary = [0]   a, mod = k, m   (n + 1).times{|i|     b = a % mod     d_ary << (b - ary[-1]) / m ** i     ary << b     a = f_a(f_ary, b)     mod *= m   }   d_ary end def A309445(n)   A([-2, 0, 0, 0, 0, 1], 4, 7, n) end p A309445(100) (PARI) Vecrev(digits(truncate((2+O(7^100))^(1/5)), 7)) CROSSREFS Cf. A309450. Digits of p-adic integers: A290566 (5-adic, 2^(1/3)); A309446 (7-adic, 3^(1/5)); A309447 (7-adic, 4^(1/5)); A309448 (7-adic, 5^(1/5)); A309449 (7-adic, 6^(1/5)). Sequence in context: A255695 A246489 A343624 * A051261 A247621 A245275 Adjacent sequences:  A309442 A309443 A309444 * A309446 A309447 A309448 KEYWORD nonn,base AUTHOR Seiichi Manyama, Aug 03 2019 STATUS approved

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Last modified May 9 06:30 EDT 2021. Contains 343692 sequences. (Running on oeis4.)