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A005742 Number of degenerate fanout-free Boolean functions of n variables.
(Formerly M1698)
1
2, 6, 32, 346, 6572, 176678, 6009040, 245551538, 11694413396, 635421164350, 38766848465336, 2622886302957962, 194847034853726140, 15763561489400425046, 1379408529039591621920, 129804134856816471241570, 13069901171127981930379940 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

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) * A005615(k). - Sean A. Irvine, Jul 21 2016

CROSSREFS

Sequence in context: A123903 A172401 A272661 * A055612 A236691 A056642

Adjacent sequences:  A005739 A005740 A005741 * A005743 A005744 A005745

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

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

STATUS

approved

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Last modified December 11 23:44 EST 2019. Contains 329945 sequences. (Running on oeis4.)