A005740 Number of degenerate fanout-free Boolean functions of n variables using And, Or, Xor, Not, and Majority gates.

2, 6, 38, 558, 14102, 493230, 21734582, 1150168974, 70917337622, 4987580274414, 393796969969526, 34476778683241806, 3313919458048503254, 346878958323336066222, 39271056622439364321590, 4780894577220073271485710

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• K. L. Kodandapani and S. C. Seth, On combinational networks with restricted fan-out, IEEE Trans. Computers, 27 (1978), 309-318. (Annotated scanned copy)
• Index entries for sequences related to Boolean functions

Crossrefs

Cf. A005617, A005741.

Formula

a(n) = Sum_{k=0..n-1} binomial(n,k) * A005617(k). - Sean A. Irvine, Jul 21 2016

Extensions

More terms from Sean A. Irvine, Jul 21 2016