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A230024 Final nonzero digit of n^n in base 16. 3
1, 4, 11, 1, 5, 4, 7, 1, 9, 4, 3, 1, 13, 4, 15, 1, 1, 4, 11, 1, 5, 4, 7, 1, 9, 4, 3, 1, 13, 4, 15, 1, 1, 4, 11, 1, 5, 4, 7, 1, 9, 4, 3, 1, 13, 4, 15, 1, 1, 4, 11, 1, 5, 4, 7, 1, 9, 4, 3, 1, 13, 4, 15, 1, 1, 4, 11, 1, 5, 4, 7, 1, 9, 4, 3, 1, 13, 4, 15, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The sequence is periodic with period length 16.

LINKS

Table of n, a(n) for n=1..81.

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

MATHEMATICA

f[n_, b_] := Module[{m = n^n}, While[Mod[m, b] == 0, m = m/b]; Mod[m, b]]; y = Table[f[i, 16], {i, 1, 100}]

CROSSREFS

Cf. A116081, A204815-A204819, A230024, A204697.

Sequence in context: A048873 A091390 A321967 * A132150 A091389 A175668

Adjacent sequences:  A230021 A230022 A230023 * A230025 A230026 A230027

KEYWORD

nonn,base

AUTHOR

José María Grau Ribas, Feb 23 2014

STATUS

approved

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Last modified May 5 18:16 EDT 2021. Contains 343572 sequences. (Running on oeis4.)