A230024 Final nonzero digit of n^n in base 16.

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

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