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A216100
a(n) = 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
OFFSET
0,2
COMMENTS
Period = 10.
Continued fraction expansion of ( 34677540795827 + sqrt(1251987878366961879130415285) ) / 64245607918014. - Bruno Berselli, Sep 14 2012
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 *)
PowerMod[11, Range[0, 100], 100] (* or *) PadRight[{}, 100, {1, 11, 21, 31, 41, 51, 61, 71, 81, 91}] (* Harvey P. Dale, Jul 31 2023 *)
PROG
(PARI) for(i=1, 100, print(11^i%100, ", "))
CROSSREFS
Sequence in context: A225297 A123849 A108812 * A017281 A061589 A110402
KEYWORD
nonn,easy,less
AUTHOR
V. Raman, Sep 01 2012
STATUS
approved