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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 (list; graph; refs; listen; history; text; internal format)



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


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


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)


Cf. A005738.

Sequence in context: A002250 A304642 A005613 * A005617 A011248 A069240

Adjacent sequences:  A005613 A005614 A005615 * A005617 A005618 A005619




N. J. A. Sloane


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



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Last modified December 5 22:37 EST 2019. Contains 329782 sequences. (Running on oeis4.)