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A002542 Number of two-valued complete Post functions of n variables.
(Formerly M2174 N0869)
5
0, 2, 56, 16256, 1073709056, 4611686016279904256, 85070591730234615856620279821087277056, 28948022309329048855892746252171976963147354982949671778132708698262398304256 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
REFERENCES
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Atwell R. Turquette, A General Theory of k-Place Stroke Functions in 2-Valued Logic, Proceedings of the American Mathematical Society 13.5 (1962): 822-824. Gives a(1)-a(4).
Roger F. Wheeler, Complete connectives for the 3-valued propositional calculus, Proc. London Math. Soc. (3) 16 (1966), 167-191.
R. F. Wheeler, Complete connectives for the 3-valued propositional calculus, Proc. London Math. Soc. (3) 16 (1966), 167-191. [Annotated scanned copy]
FORMULA
a(n) = 2^(2^n-2) - 2^(2^(n-1)-1). - Sean A. Irvine, Mar 23 2014
MATHEMATICA
Table[(2^(2^n - 2) - 2^(2^(n - 1) - 1)), {n, 1, 10}] (* Vincenzo Librandi, Mar 24 2014 *)
PROG
(Magma) [2^(2^n-2)-2^(2^(n-1)-1): n in [1..10]]; // Vincenzo Librandi, Mar 24 2014
(PARI) a(n) = 2^(2^n-2)-2^(2^(n-1)-1) \\ Felix Fröhlich, Jun 01 2019
CROSSREFS
Cf. A002543.
Sequence in context: A253471 A230879 A080318 * A264939 A201217 A041391
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(8) from Sean A. Irvine, Mar 23 2014
STATUS
approved

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Last modified March 29 06:57 EDT 2024. Contains 371265 sequences. (Running on oeis4.)