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A056849 Final digit of n^n. 12
1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0, 1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0, 1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0, 1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0, 1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Cyclic with a period of 20.

REFERENCES

R. Euler and J. Sadek, "A Number That Gives The Units Of n^n", Journal of Recreational Mathematics, vol. 29(3), 1998, pp. 203-4.

LINKS

Table of n, a(n) for n=1..100.

Hung Viet Chu, New Transcendental Numbers from Certain Sequences, arXiv:1908.03855 [math.NT], 2019. Mentions this sequence.

Gregory P. Dresden, Three transcendental numbers from the last non-zero digits of n^n, F_n and n!, Mathematics Magazine, vol. 81, 2008, pp. 96-105.

Gregory Dresden, Two Irrational Numbers That Give the Last Non-Zero Digits of n! and n^n, arXiv:1904.10274 [math.NT], 2019.

Jose María Grau and A. M. Oller-Marcen  On the last digit and the last non-zero digit of n^n in base b, arXiv:1203.4066 [math.NT], 2012.

Jose María Grau and A. M. Oller-Marcen, On the last digit and the last non-zero digit of n^n in base b, Bull. Korean Math. Soc. 51 (2014), No. 5, pp. 1325-1337.

Index entries for sequences related to final digits of numbers

MAPLE

seq(n &^ n mod 10, n=1..120);

MATHEMATICA

Table[PowerMod[n, n, 10], {n, 1, 100}]

PROG

(MAGMA) [n^n mod 10: n in [1..150]]; // Vincenzo Librandi, Apr 12 2011

(PARI) a(n)=lift(Mod(n, 10)^n) \\ Charles R Greathouse IV, Dec 29 2012

CROSSREFS

Cf. A000312, A061505, A116081.

Sequence in context: A112518 A228715 A308366 * A116081 A275162 A105228

Adjacent sequences:  A056846 A056847 A056848 * A056850 A056851 A056852

KEYWORD

nonn,base,easy

AUTHOR

Robert G. Wilson v, Aug 30 2000

STATUS

approved

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Last modified November 21 14:18 EST 2019. Contains 329371 sequences. (Running on oeis4.)