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 A201920 a(n) = 2^n mod 125. 2
 1, 2, 4, 8, 16, 32, 64, 3, 6, 12, 24, 48, 96, 67, 9, 18, 36, 72, 19, 38, 76, 27, 54, 108, 91, 57, 114, 103, 81, 37, 74, 23, 46, 92, 59, 118, 111, 97, 69, 13, 26, 52, 104, 83, 41, 82, 39, 78, 31, 62, 124, 123, 121, 117, 109, 93, 61, 122, 119, 113, 101, 77, 29 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1). FORMULA For n > 50: a(n) = a(n-1) - a(n-50) + a(n-51). G.f.: (1 + x + 2x^2 + 4x^3 + 8x^4 + 16x^5 + 32x^6 - 61x^7 + 3x^8 + 6x^9 + 12x^10 + 24x^11 + 48x^12 - 29x^13 - 58x^14 + 9x^15 + 18x^16 + 36x^17 - 53x^18 + 19x^19 + 38x^20 - 49x^21 + 27x^22 + 54x^23 - 17x^24 - 34x^25 + 57x^26 - 11x^27 - 22x^28 - 44x^29 + 37x^30 - 51x^31 + 23x^32 + 46x^33 - 33x^34 + 59x^35 - 7x^36 - 14x^37 - 28x^38 - 56x^39 + 13x^40 + 26x^41 + 52x^42 - 21x^43 - 42x^44 + 41x^45 - 43x^46 + 39x^47 - 47x^48 + 31x^49 + 63x^50) / ((1-x)*(1+x^2)*(1 - x^2 + x^4 - x^6 + x^8 - x^10 + x^12 - x^14 + x^16 - x^18 + x^20 - x^22 + x^24 - x^26 + x^28 - x^30 + x^32 - x^34 + x^36 - x^38 + x^40 - x^42 + x^44 - x^46 + x^48)). Periodic with period 100. EXAMPLE a(7) = 2^7 mod 125 = 3. MATHEMATICA PowerMod[2, Range[0, 100], 125] (* Harvey P. Dale, Aug 12 2013 *) PROG (PARI) a(n)=lift(Mod(2, 125)^n) \\ Charles R Greathouse IV, Mar 22 2016 (MAGMA) [Modexp(2, n, 125): n in [0..120]]; // G. C. Greubel, Oct 17 2018 (GAP) a:=List([0..100], n->PowerMod(2, n, 125));; Print(a); # Muniru A Asiru, Jan 27 2019 CROSSREFS Cf. A070402, A070336. Sequence in context: A128901 A025489 A160686 * A223700 A036140 A036138 Adjacent sequences:  A201917 A201918 A201919 * A201921 A201922 A201923 KEYWORD nonn,easy AUTHOR Franz Vrabec, Dec 06 2011 STATUS approved

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Last modified October 16 01:33 EDT 2019. Contains 328038 sequences. (Running on oeis4.)