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 A285194 Expansion of (1+x^2)/(1+x+x^4) mod 3. 1
 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Periodic with period (1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0). REFERENCES Arthur Gill, Linear Sequential Circuits, McGraw-Hill, 1966, Eq. (17-11). LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,1). FORMULA From Colin Barker, Apr 27 2017: (Start) G.f.: (2*x^11 + 2*x^9 + x^8 + x^7 + x^6 + x^4 + x^3 + 2*x^2 + 2*x + 1)/(1 - x^13). a(n) = a(n-13) for n>12. (End) MAPLE t5:=(1+x^2)/(1+x+x^4); t6:=series(%, x, 120): t7:=seriestolist(%); t8:=% mod 3; PROG (PARI) Vec((2*x^11 + 2*x^9 + x^8 + x^7 + x^6 + x^4 + x^3 + 2*x^2 + 2*x + 1)/(1 - x^13) + O(x^100)) \\ Colin Barker, Apr 27 2017 CROSSREFS Sequence in context: A326918 A328698 A317529 * A039978 A099918 A099860 Adjacent sequences:  A285191 A285192 A285193 * A285195 A285196 A285197 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Apr 26 2017 STATUS approved

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Last modified May 28 17:37 EDT 2020. Contains 334684 sequences. (Running on oeis4.)