A120962 - OEIS

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A120962

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

7

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

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

OFFSET

0,3

COMMENTS

Periodic sequence with period length 20. - Arkadiusz Wesolowski, Feb 12 2012

LINKS

Table of n, a(n) for n=0..105.

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

FORMULA

a(n) = A010879(A002488(n)). - Michel Marcus, Aug 04 2015

MAPLE

seq(n &^ (n^n) mod 10, n=0..105);

MATHEMATICA

Join[{0}, Table[PowerMod[n, n^n, 10], {n, 100}]] (* Stefan Steinerberger, Nov 23 2007 *)

PROG

(PARI) a(n)=if(n%10, lift(Mod(n, 10)^lift(Mod(n, 20)^n)), 0) \\ Charles R Greathouse IV, Feb 12 2012

(Python)

def A120962(n): return pow(n, n**n, 10) # Chai Wah Wu, Sep 22 2023

CROSSREFS

Cf. A061505, A229522, A229784.

Sequence in context: A369104 A253271 A258945 * A355922 A261024 A343436

Adjacent sequences: A120959 A120960 A120961 * A120963 A120964 A120965

KEYWORD

nonn,base,easy

AUTHOR

N. J. A. Sloane, Jul 19 2006, Oct 26 2007

EXTENSIONS

More terms from Stefan Steinerberger, Nov 23 2007

STATUS

approved