A088152 Value of n-th digit in octal representation of n^n.

1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 6, 6, 5, 0, 0, 4, 4, 6, 1, 3, 3, 1, 4, 5, 4, 0, 5, 0, 3, 0, 3, 4, 1, 3, 5, 6, 2, 1, 6, 6, 5, 5, 0, 1, 0, 0, 5, 6, 3, 7, 6, 4, 1, 1, 3, 3, 6, 4, 3, 1, 0, 0, 0, 4, 4, 0, 3, 6, 1, 1, 2, 5, 0, 0, 5, 2, 6, 0, 2, 4, 7, 5, 6, 4, 2, 1, 6, 4, 3, 6, 7, 4, 6, 0, 5, 7, 5, 3, 6

Offset

0,10

Comments

a(n)=d(n) with n^n = Sum(d(k)*8^k: 0<=d(k)<8, k>=0).

Links

Robert Israel, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Octal

Formula

a(n) = floor(n^n / 8^n) mod 8.

Example

n=9, 9^9=387420489 -> '2705710511', '2---------': a(9)=2;
a(0)=1, a(k)=0 for 0<k<8 and a(8)=1.

Maple

f:= proc(n) local x, L;
   x:= n &^ n mod 8^(n+1);
   floor(x/8^n)
end proc:
f(0):= 1:
map(f, [$0..101]); # Robert Israel, Sep 19 2019

Prog

(Magma) [Floor(n^n/8^n) mod 8:n in [0..101]]; // Marius A. Burtea, Sep 20 2019

Crossrefs

Cf. A007094, A000312, A088150, A088151, A088153, A088154, A088155, A088156, A088157.

Sequence in context: A089759 A325970 A347781 * A049270 A025269 A265656

Adjacent sequences: A088149 A088150 A088151 * A088153 A088154 A088155

Keyword

nonn,base

Author

Reinhard Zumkeller, Sep 20 2003

Status

approved