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 A253091 List of ternary words obtained by expanding (1+2x)^n mod 3 and reading the coefficients starting with the constant term. 2
 1, 12, 111, 1002, 12021, 111222, 1001001, 12012012, 111111111, 1000000002, 12000000021, 111000000222, 1002000002001, 12021000021012, 111222000222111, 1001001002002002, 12012012021021021, 111111111222222222, 1000000001000000001, 12000000012000000012, 111000000111000000111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Arises in the study of a cellular automaton whose cells are in one of three states: 0, 1, or 2. LINKS EXAMPLE The first few polynomials are: 1 1+2*x 1+x+x^2 1+2*x^3 1+2*x+2*x^3+x^4 1+x+x^2+2*x^3+2*x^4+2*x^5 1+x^3+x^6 1+2*x+x^3+2*x^4+x^6+2*x^7 1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8 1+2*x^9 1+2*x+2*x^9+x^10 1+x+x^2+2*x^9+2*x^10+2*x^11 1+2*x^3+2*x^9+x^12 ... MAPLE M:=20; F:=1+2*x mod 3; g:=n->expand(F^n) mod 3; g2:=n->series(g(n), x, M+6); for n from 0 to M do lprint(seriestolist(g2(n))); od: CROSSREFS Cf. A255285, A255286, A182069. Sequence in context: A066042 A153597 A036733 * A123933 A199691 A077754 Adjacent sequences:  A253088 A253089 A253090 * A253092 A253093 A253094 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 13 2015 STATUS approved

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Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)