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A271379 a(n) = 5^n mod 101. 2
1, 5, 25, 24, 19, 95, 71, 52, 58, 88, 36, 79, 92, 56, 78, 87, 31, 54, 68, 37, 84, 16, 80, 97, 81, 1, 5, 25, 24, 19, 95, 71, 52, 58, 88, 36, 79, 92, 56, 78, 87, 31, 54, 68, 37, 84, 16, 80, 97, 81, 1, 5, 25, 24, 19, 95, 71, 52, 58, 88, 36, 79, 92, 56, 78 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Period 25: repeat [1, 5, 25, 24, 19, 95, 71, 52, 58, 88, 36, 79, 92, 56, 78, 87, 31, 54, 68, 37, 84, 16, 80, 97, 81].

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

FORMULA

G.f.: (1 +5*x +25*x^2 +24*x^3 +19*x^4 +95*x^5 +71*x^6 +52*x^7 +58*x^8 +88*x^9 +36*x^10 +79*x^11 +92*x^12 +56*x^13 +78*x^14 +87*x^15 +31*x^16 +54*x^17 +68*x^18 +37*x^19 +84*x^20 +16*x^21 +80*x^22 +97*x^23 +81*x^24)/(1-x^25).

a(n) = a(n-25).

MATHEMATICA

PowerMod[5, Range[0, 100], 101]

PROG

(MAGMA) [Modexp(5, n, 101): n in [0..100]];

(PARI) a(n) = lift(Mod(5, 101)^n); \\ Altug Alkan, Apr 07 2016

CROSSREFS

Cf. similar sequences listed in A271378.

Sequence in context: A070376 A036139 A070382 * A192493 A265973 A265928

Adjacent sequences:  A271376 A271377 A271378 * A271380 A271381 A271382

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 07 2016

STATUS

approved

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Last modified June 19 17:16 EDT 2019. Contains 324222 sequences. (Running on oeis4.)