A088155 - OEIS

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A088155

Value of n-th digit in hexadecimal representation of n^n.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 8, 10, 6, 14, 15, 8, 2, 0, 0, 13, 11, 5, 8, 6, 0, 12, 6, 0, 12, 1, 11, 2, 4, 11, 11, 3, 15, 8, 4, 10, 1, 14, 1, 14, 0, 6, 0, 5, 14, 12, 9, 9, 1, 4, 2, 1, 0, 10, 7, 15, 4, 10, 15, 3, 13, 1, 12, 7, 15, 14, 4, 7, 1, 14, 8, 5, 8, 4, 9, 9, 13, 6

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OFFSET

0,18

COMMENTS

a(n)=d(n) with n^n = Sum(d(k)*16^k: 0<=d(k)<16, k>=0).

LINKS

Table of n, a(n) for n=0..89.

Eric Weisstein's World of Mathematics, Hexadecimal

FORMULA

a(n) = floor(n^n / 16^n) mod 16.

EXAMPLE

n=20, 20^20=1048576*10^20 -> [56BC75E2D6310000000000], a(20)=6.