A229522 Final digit (in decimal system) of (n^n)^n, i.e., (n^n)^n mod 10.

1, 6, 3, 6, 5, 6, 7, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 6, 9, 0, 1, 6, 3, 6, 5, 6

Offset

1,2

Comments

Periodic sequence with period 10.

Links

Table of n, a(n) for n=1..86.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1).

Formula

a(n) = A120962(A002489(n)). - Michel Marcus, Aug 09 2023

Mathematica

Table[PowerMod[n^n, n, 10], {n, 200}]

Prog

(PARI) a(n)=n%=10; lift(Mod(n, 10)^n^n) \\ Charles R Greathouse IV, Dec 27 2013
(Python)
def A229522(n): return (0, 1, 6, 3, 6, 5, 6, 7, 6, 9)[n%10] # Chai Wah Wu, Aug 10 2023

Crossrefs

Cf. A002489, A120962, A364789 (initial digit).

Sequence in context: A043296 A199186 A176715 * A227400 A137245 A060294

Adjacent sequences: A229519 A229520 A229521 * A229523 A229524 A229525

Keyword

nonn,base,easy

Author

José María Grau Ribas, Sep 25 2013

Status

approved