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Number of self-dual monotonic Boolean functions on n variables (where the result depends on all n variables).
1

%I #17 Dec 29 2023 15:25:17

%S 1,0,1,4,46,2284,1405428,229798671816,423295097006496421879

%N Number of self-dual monotonic Boolean functions on n variables (where the result depends on all n variables).

%H Hans-J. Bandelt and Jarmila Hedlíková, <a href="http://dx.doi.org/10.1016/0012-365X(83)90173-5">Median algebras</a>, Discrete Mathematics, 45 (1983), 1-30.

%F A001206(n) = Sum_{k=1..n} binomial(n,k)*a(k).

%Y Cf. A001206, A107765.

%K hard,nonn,more

%O 1,4

%A _Don Knuth_, Jun 11 2005

%E a(7)-a(8) from _Vladeta Jovovic_, Jun 13 2005

%E a(9) (using formula) from _Pontus von Brömssen_, Dec 29 2023