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| A036240
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Number of 3-way interactions when 3 subsets of power set on {1..n} are chosen at random; number of Boolean functions of n variables and rank 3 from Post class F(8,inf).
(history;
published version)
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#44 by N. J. A. Sloane at Tue Aug 02 13:02:04 EDT 2022
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#43 by Michel Marcus at Fri Jul 29 09:31:27 EDT 2022
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#42 by Michel Marcus at Fri Jul 29 09:31:21 EDT 2022
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| LINKS
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V. Jovovic, and G. Kilibarda, <a href="http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=dm&paperid=398&option_lang=eng">On the number of Boolean functions in the Post classes F^{mu}_8</a>, Diskretnaya Matematika, 11 (1999), no. 4, 127-138 (translated in Discrete Mathematics and Applications, 9, (1999), no. 6).
Thomas Wieder, The number of certain k-combinations of an n-set, <a href="http://www.math.nthu.edu.tw/~amen/2008/070301.pdf">The number of certain k-combinations of an n-set</a>, Applied Mathematics Electronic Notes</a>, , vol. 8 (2008).
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proposed
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#41 by Stefano Spezia at Fri Jul 29 09:23:34 EDT 2022
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#40 by Stefano Spezia at Fri Jul 29 09:23:03 EDT 2022
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| FORMULA
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E.g.f.: exp(x)*(exp(x) - 1)^3*(exp(x) + 1)^2*(exp(2*x) + 2)/6. - Stefano Spezia, Jul 29 2022
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approved
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#39 by Jon E. Schoenfield at Mon Feb 21 00:56:40 EST 2022
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#38 by Jon E. Schoenfield at Mon Feb 21 00:56:38 EST 2022
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| PROG
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(MAGMAMagma) [(8^n-7^n-3*4^n+3*3^n+2*2^n-2)/6 : n in [1..30]]; // Wesley Ivan Hurt, Oct 23 2014
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approved
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#37 by Charles R Greathouse IV at Sat Jun 13 00:49:14 EDT 2015
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<a href="/index/Rec#order_06">Index to sequencesentries withfor linear recurrences with constant coefficients</a>, signature (25,-241,1135,-2734,3160,-1344).
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Discussion
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| Sat Jun 13
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| OEIS Server: https://oeis.org/edit/global/2439
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#36 by Bruno Berselli at Thu Oct 30 05:02:52 EDT 2014
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#35 by Michel Marcus at Thu Oct 30 03:56:58 EDT 2014
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