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A290566 Coefficients in 5-adic expansion of 2^(1/3). 17
3, 0, 2, 2, 3, 1, 4, 0, 2, 3, 0, 0, 4, 0, 4, 4, 3, 1, 1, 2, 0, 0, 2, 4, 0, 0, 2, 1, 4, 2, 2, 4, 0, 4, 2, 3, 1, 2, 3, 0, 0, 2, 0, 3, 4, 4, 2, 3, 2, 0, 4, 1, 2, 2, 3, 3, 0, 4, 2, 2, 3, 4, 4, 3, 4, 0, 2, 1, 2, 3, 4, 4, 2, 3, 3, 0, 3, 4, 1, 3, 1, 0, 2, 2, 1, 4, 4, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

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 A290566(n)

  A([-2, 0, 0, 1], 3, 5, n)

end

p A290566(100)

(PARI) Vecrev( digits( truncate( (2+O(5^100))^(1/3) ), 5) ) \\ Joerg Arndt, Aug 06 2017

CROSSREFS

Cf. A290563, A290567.

Sequence in context: A004587 A104609 A326395 * A285006 A300722 A087625

Adjacent sequences:  A290563 A290564 A290565 * A290567 A290568 A290569

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Aug 06 2017

STATUS

approved

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Last modified January 19 14:53 EST 2020. Contains 331049 sequences. (Running on oeis4.)