A286839 - OEIS

%I #25 Feb 17 2021 20:30:16

%S 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,

%T 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,

%U 7,9,1,12,2,0,9,4,7,6,2,7,3,6,3,10,4,7,12,0,1

%N 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).

%H Seiichi Manyama, <a href="/A286839/b286839.txt">Table of n, a(n) for n = 0..10000</a>

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

%o (Ruby)

%o def A(k, m, n)

%o   d_ary = []

%o   ary = [0]

%o   a, mod = k, m

%o   (n + 1).times{|i|

%o     b = a % mod

%o     d_ary << (b - ary[-1]) / m ** i

%o     ary << b

%o     a = b ** m

%o     mod *= m

%o   }

%o   d_ary

%o end

%o def A286839(n)

%o   A(8, 13, n)

%o end

%o p A286839(100)

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

%K nonn,base

%O 0,1

%A _Seiichi Manyama_, Aug 01 2017

%E Keyword "base" added by _Jianing Song_, Feb 17 2021