A286839 Digits of one of the two 13-adic integers sqrt(-1) (digits 0, 1, ... , 9, 10, 11, 12 are used instead of 0, 1, ... , 9, A, B, C).

8, 7, 11, 12, 7, 7, 11, 12, 11, 4, 4, 6, 0, 6, 9, 12, 8, 5, 8, 7, 12, 7, 11, 8, 1, 5, 6, 2, 7, 7, 7, 3, 6, 2, 6, 10, 7, 12, 12, 10, 1, 5, 5, 12, 5, 7, 0, 9, 8, 10, 3, 6, 5, 10, 0, 5, 6, 11, 7, 12, 7, 9, 1, 12, 2, 0, 9, 4, 7, 6, 2, 7, 3, 6, 3, 10, 4, 7, 12, 0, 1

Offset

0,1

Links

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

Formula

a(n) = 12 - A286838(n) for n > 0.

Prog

(Ruby)
def A(k, m, n)
  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 = b ** m
    mod *= m
  }
  d_ary
end
def A286839(n)
  A(8, 13, n)
end
p A286839(100)

Crossrefs

Digits of one of the two p-adic integers sqrt(-1): A210850 and A210851 (p=5), A286838 and this sequence (p=13).

Sequence in context: A198884 A212911 A019326 * A277915 A051011 A298666

Adjacent sequences: A286836 A286837 A286838 * A286840 A286841 A286842

Keyword

nonn,base

Author

Seiichi Manyama, Aug 01 2017

Extensions

Keyword "base" added by Jianing Song, Feb 17 2021

Status

approved