A070609 a(n) = n^5 mod 25.

0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1, 7, 18, 24, 0, 1

Offset

0,3

Comments

Period 5: repeat [0, 1, 7, 18, 24]. - Jianing Song, Apr 06 2019

Links

Colin Barker, Table of n, a(n) for n = 0..1000

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

Formula

From Colin Barker, Apr 06 2019: (Start)

G.f.: x*(1 + 4*x)*(1 + 3*x + 6*x^2) / ((1 - x)*(1 + x + x^2 + x^3 + x^4)).

a(n) = a(n-5) for n>4.

(End)

Prog

(Sage) [power_mod(n, 5, 25)for n in range(0, 87)] # - Zerinvary Lajos, Nov 04 2009
(PARI) a(n)=n^5%25 \\ Charles R Greathouse IV, Apr 06 2016
(PARI) concat(0, Vec(x*(1 + 4*x)*(1 + 3*x + 6*x^2) / ((1 - x)*(1 + x + x^2 + x^3 + x^4)) + O(x^80))) \\ Colin Barker, Apr 06 2019

Crossrefs

Sequence in context: A374460 A256011 A272972 * A007236 A056021 A090098

Adjacent sequences: A070606 A070607 A070608 * A070610 A070611 A070612

Keyword

nonn,easy

Author

N. J. A. Sloane, May 13 2002

Status

approved