A005742 Number of degenerate fanout-free Boolean functions of n variables using And, Or, Not and Majority gates.

2, 6, 32, 346, 6572, 176678, 6009040, 245551538, 11694413396, 635421164350, 38766848465336, 2622886302957962, 194847034853726140, 15763561489400425046, 1379408529039591621920, 129804134856816471241570, 13069901171127981930379940

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

Kodandapani and Seth paper gives incorrect a(7) = 5511738.

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. A005615, A005743.

Formula

a(n) = Sum_{k=0..n-1} binomial(n, k) * A005615(k). - Sean A. Irvine, Jul 21 2016

Extensions

a(7) corrected and more terms from Sean A. Irvine, Jul 21 2016