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A000721 Number of balanced Boolean functions of n variables.
(Formerly M1721 N0683)
1

%I M1721 N0683 #32 Mar 28 2021 20:14:01

%S 1,2,6,74,169112,39785643746726,37126652766640082937217814348006,

%T 558874591495497577231218517843968898077072559983411918227348931497772

%N Number of balanced Boolean functions of n variables.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

%H H. Jamke, <a href="/A000721/b000721.txt">Table of n, a(n) for n = 1..10</a>

%H B. Elspas, <a href="https://doi.org/10.1109/TEC.1960.5219832">Self-complementary symmetry types of Boolean functions</a>, IEEE Trans. Electron. Computers, 9 (1960), 264-266.

%H B. Elspas, <a href="/A000610/a000610.pdf">Self-complementary symmetry types of Boolean functions</a>, IEEE Transactions on Electronic Computers 2, no. EC-9 (1960): 264-266. [Annotated scanned copy]

%H E. M. Palmer and R. W. Robinson, <a href="http://projecteuclid.org/euclid.pjm/1102711113">Enumeration of self-dual configurations</a>, Pacific J. Math., 110 (1984), 203-221. [From Herman Jamke (hermanjamke(AT)fastmail.fm), Aug 21 2010]

%H D. Zeilberger, <a href="http://www.math.rutgers.edu/~zeilberg/tokhniot/oGraphEnumeration2">First 7 terms of the sequence of weight-enumerators enumerating equivalence classes of Boolean functions under permutation of variable and negation </a>. [From Herman Jamke (hermanjamke(AT)fastmail.fm), Aug 21 2010]

%H D. Zeilberger, <a href="/A000721/a000721.txt">First 7 terms of the sequence of weight-enumerators enumerating equivalence classes of Boolean functions under permutation of variable and negation</a> [Local copy]

%H <a href="/index/Bo#Boolean">Index entries for sequences related to Boolean functions</a>

%K nonn,nice,easy

%O 1,2

%A _N. J. A. Sloane_

%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Aug 21 2010, Sep 05 2010

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Last modified April 25 09:22 EDT 2024. Contains 371967 sequences. (Running on oeis4.)