A005738 Number of fanout-free Boolean functions of n variables. (Formerly M1708)

2, 6, 38, 526, 12022, 376430, 14821942, 700501294, 38564486966, 2421312598894, 170655141398326, 13336218401711534, 1144162670908970806, 106893046255965640174, 10800877688088297157430, 1173551859231328950561838, 136431643427143746045393718

Offset

1,1

References

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

Links

Table of n, a(n) for n=1..17.

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

Formula

a(n) = Sum_{k=0..n-1} binomial(n,k) * A005616(k). [From Kodandapani and Seth] - Sean A. Irvine, Jul 21 2016

Crossrefs

Cf. A005616.

Sequence in context: A013703 A002031 A184731 * A055704 A005740 A367904

Adjacent sequences: A005735 A005736 A005737 * A005739 A005740 A005741

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Jul 21 2016

Status

approved