A088154 Value of n-th digit in duodecimal representation of n^n.

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

Offset

0,14

Comments

a(n)=d(n) with n^n = Sum(d(k)*12^k: 0<=d(k)<12, k>=0).

Links

Table of n, a(n) for n=0..97.

Eric Weisstein's World of Mathematics, Duodecimal

Formula

a(n) = floor(n^n / 12^n) mod 12.

Example

n=16, 16^16=18446744073709551616 -> [839365134A210240714], a(16)=3.
a(0)=1, a(k)=0 for 0<k<12 and a(12)=1.

Mathematica

Join[{1}, Table[Mod[Floor[n^n/12^n], 12], {n, 100}]] (* Harvey P. Dale, Apr 17 2012 *)

Crossrefs

Cf. A000312, A088150, A088151, A088152, A088153, A088155, A088156, A088157.

Sequence in context: A253634 A152626 A093823 * A085993 A010595 A109594

Adjacent sequences: A088151 A088152 A088153 * A088155 A088156 A088157

Keyword

nonn,base

Author

Reinhard Zumkeller, Sep 20 2003

Status

approved