A229522 - OEIS

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A229522

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

3

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

(list; graph; refs; listen; history; text; internal format)

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