A005616 Number of disjunctively-realizable functions of n variables. (Formerly M1983)

2, 2, 10, 114, 2154, 56946, 1935210, 80371122, 3944568042, 223374129138, 14335569726570, 1028242536825906, 81514988432370666, 7077578056972377714, 667946328512863533930, 68080118128074301929138, 7453010693997492901047018

Offset

0,1

Comments

Fanout-free Boolean functions of n variables using And, Or, Xor, and Not gates.

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=0..16.

E. A. Bender and J. T. Butler, Asymptotic approximations for the number of fanout-free functions, IEEE Trans. Computers, 27 (1978), 1180-1183. (Annotated scanned copy)

J. T. Butler, Letter to N. J. A. Sloane, Jun. 1975 and Dec. 1978.

J. T. Butler, On the number of functions realized by cascades and disjunctive networks, IEEE Trans. Computers, C-24 (1975), 681-690. (Annotated scanned copy)

K. L. Kodandapani and S. C. Seth, On combinational networks with restricted fan-out, IEEE Trans. Computers, 27 (1978), 309-318. (Annotated scanned copy)

Crossrefs

Cf. A005738.

Sequence in context: A002250 A304642 A005613 * A005617 A011248 A069240

Adjacent sequences: A005613 A005614 A005615 * A005617 A005618 A005619

Keyword

nonn

Author

N. J. A. Sloane

Extensions

a(0), a(14)-a(16) from Sean A. Irvine, Jul 21 2016

Status

approved