A238291 Final digit of real part of (n+n*i)^n.

1, 0, 6, 6, 0, 0, 4, 6, 4, 0, 8, 6, 8, 0, 0, 6, 2, 0, 2, 0, 6, 0, 6, 6, 0, 0, 4, 6, 4, 0, 8, 6, 8, 0, 0, 6, 2, 0, 2, 0, 6, 0, 6, 6, 0, 0, 4, 6, 4, 0, 8, 6, 8, 0, 0, 6, 2, 0, 2, 0, 6, 0, 6, 6, 0, 0, 4, 6, 4, 0, 8, 6, 8, 0, 0, 6, 2, 0, 2, 0, 6, 0, 6, 6, 0, 0

Offset

1,3

Comments

Starting from a(2) the sequence is periodic with period length 20. - Giovanni Resta, Feb 23 2014

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

Mathematica

re[n_, b_] := Mod[b + Re@PowerMod[(n + n I), n, b], b];
Table[re[n, 10], {n, 100}]

Crossrefs

Cf. A238292, A056849.

Sequence in context: A285071 A285338 A020845 * A028971 A173451 A318537

Adjacent sequences: A238288 A238289 A238290 * A238292 A238293 A238294

Keyword

nonn,base

Author

José María Grau Ribas, Feb 22 2014

Status

approved