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A131674 Size of the largest BDD of symmetric Boolean functions of n variables when the sink nodes are not counted. 1

%I #6 Aug 08 2015 23:56:12

%S 0,1,3,5,8,12,17,23,29,36,44,53,63,74,86,99,113,127,142,158,175,193,

%T 212,232,253,275,298,322,347,373,400,428,457,487,517,548,580,613,647,

%U 682,718,755,793,832,872,913,955,998,1042,1087,1133,1180,1228,1277,1327,1378,1430,1483

%N Size of the largest BDD of symmetric Boolean functions of n variables when the sink nodes are not counted.

%D Mark Heap, On the exact ordered binary decision diagram size of totally symmetric functions, Journal of Electronic Testing 4 (1993), 191-195.

%D Ingo Wegener, Optimal decision trees and one-time-only branching programs for symmetric Boolean functions, Information and Control 62 (1984), 129-143.

%F a(n) = sum_{k=1..n} min(k,2^{n+2-k}-2).

%t f[n_] := Sum[ Min[k, 2^{n + 2 - k} - 2], {k, n}]; Table[ f@n, {n, 0, 57}] (* _Robert G. Wilson v_, Sep 16 2007 *)

%Y See A131673 for another version.

%K nonn,easy

%O 0,3

%A _Don Knuth_, Sep 06 2007

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