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 A003018 Number of distinct values taken by 3^3^...^3 (with n 3's and parentheses inserted in all possible ways). (Formerly M1178) 30
 1, 1, 2, 4, 9, 20, 47, 111, 270, 664, 1659, 4184, 10662, 27367, 70747, 183925, 480656, 1261630, 3324772, 8792592, 23327249, 62067785, 165586565 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS F. Goebel and R. P. Nederpelt, The number of numerical outcomes of iterated powers, Amer. Math. Monthly, 80 (1971), 1097-1103. R. K. Guy and J. L. Selfridge, The nesting and roosting habits of the laddered parenthesis, Amer. Math. Monthly 80 (8) (1973), 868-876. R. K. Guy and J. L. Selfridge, The nesting and roosting habits of the laddered parenthesis (annotated cached copy) CROSSREFS Cf. A002845, A003019, A145545, A145546, A145547, A145548, A145549, A145550, A000081. Sequence in context: A130802 A022543 A036618 * A196244 A035084 A213905 Adjacent sequences:  A003015 A003016 A003017 * A003019 A003020 A003021 KEYWORD nonn,nice,more AUTHOR EXTENSIONS a(12)-a(23) from Jon E. Schoenfield, Oct 11 2008 STATUS approved

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