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A088154 Value of n-th digit in duodecimal representation of n^n. 7
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 20 08:12 EST 2017. Contains 294962 sequences.