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A216100 11^n mod 100. 3
1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Period = 10.

Continued fraction expansion of ( 34677540795827 +

sqrt(1251987878366961879130415285) ) / 64245607918014.  - Bruno Berselli, Sep 14 2012

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

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

FORMULA

G.f.: (1+11*x+21*x^2+31*x^3+41*x^4+51*x^5+61*x^6+71*x^7+81*x^8+91*x^9)/((1-x)*(1+x)*(1-x+x^2-x^3+x^4)*(1+x+x^2+x^3+x^4)). - Bruno Berselli, Sep 14 2012

MATHEMATICA

CoefficientList[Series[(1 + 11 x + 21 x^2 + 31 x^3 + 41 x^4 + 51 x^5 + 61 x^6 + 71 x^7 + 81 x^8 + 91 x^9) / ((1 - x) (1 + x) (1 - x + x^2 - x^3 + x^4) (1 + x + x^2 + x^3 + x^4)), {x, 0, 60}], x] (* Vincenzo Librandi, Jun 14 2013 *)

PROG

(PARI) for(i=1, 100, print(11^i%100" "))

CROSSREFS

Cf. A001311, A014390.

Sequence in context: A225297 A123849 A108812 * A017281 A061589 A110402

Adjacent sequences:  A216097 A216098 A216099 * A216101 A216102 A216103

KEYWORD

nonn,easy

AUTHOR

V. Raman, Sep 01 2012

STATUS

approved

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Last modified June 19 00:04 EDT 2021. Contains 345125 sequences. (Running on oeis4.)