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 A005610 Number of Boolean functions realized by cascades of n gates. (Formerly M4936) 3
 2, 14, 86, 518, 3110, 18662, 111974, 671846, 4031078, 24186470, 145118822, 870712934, 5224277606, 31345665638, 188073993830, 1128443962982, 6770663777894, 40623982667366, 243743896004198, 1462463376025190 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS J. T. Butler, Fanout-free networks of multivalued gates, Proc. Internat. Symposium Multiple-Valued Logic, Charlotte, NC, 1977, IEEE Press, NY (1977), 39-46. (Annotated scanned copy) J. T. Butler, Letter to N. J. A. Sloane, Dec. 1978. Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009. Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992 Index entries for linear recurrences with constant coefficients, signature (7,-6) FORMULA a(n) = (2/5)*(6*6^(n-1) - 1). - Ralf Stephan, Apr 19 2004 a(n) = 6*a(n-1) + 2 for n > 1. - Georg Fischer, Nov 13 2018 MAPLE A005610:=-2*(-7+6*z)/(6*z-1)/(z-1); # conjectured by Simon Plouffe in his 1992 dissertation; gives the sequence apart from the initial 2 MATHEMATICA Table[(2/5) (6 6^(n - 1) - 1), {n, 1, 30}] (* Bruno Berselli, Nov 13 2018 *) CROSSREFS Cf. A003464. Sequence in context: A036692 A075140 A037563 * A065355 A162478 A348615 Adjacent sequences:  A005607 A005608 A005609 * A005611 A005612 A005613 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Ralf Stephan, Apr 19 2004 STATUS approved

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Last modified July 3 03:28 EDT 2022. Contains 355030 sequences. (Running on oeis4.)