The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A056049 Number of 6-antichain covers of a labeled n-set. 7
 1, 1375, 751192, 187216960, 29650991279, 3554308158345, 355235190457414, 31360944940860370, 2536696962910365277, 192628889065040142715, 13964833124133659520116, 978098391719401853480580 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,2 REFERENCES V. Jovovic and G. Kilibarda, On the number of Boolean functions in the Post classes F^{mu}_8, Diskretnaya Matematika, 11 (1999), no. 4, 127-138 (translated in Discrete Mathematics and Applications, 9, (1999), no. 6) V. Jovovic, G. Kilibarda, On enumeration of the class of all monotone Boolean functions, in preparation. LINKS Vincenzo Librandi, Table of n, a(n) for n = 4..200 K. S. Brown, Dedekind's problem Eric Weisstein's World of Mathematics, Antichain covers FORMULA a(n)=(1/6!)*(63^n - 30*47^n + 120*39^n + 60*35^n + 60*33^n - 12*32^n - 345*31^n - 720*29^n + 810*27^n + 120*26^n + 480*25^n + 360*24^n - 480*23^n - 720*22^n - 240*21^n - 540*20^n + 1380*19^n + 750*18^n + 60*17^n - 210*16^n - 1535*15^n - 1820*14^n + 2250*13^n + 1800*12^n - 2820*11^n + 300*10^n + 2040*9^n + 340*8^n - 1815*7^n + 510*6^n - 1350*5^n + 1350*4^n + 274*3^n - 548*2^n + 120). MATHEMATICA Table[(1 / 6!) (63^n - 30*47^n + 120*39^n + 60*35^n + 60 *33^n - 12*32^n - 345*31^n-720*29^n + 810*27^n + 120*26^n + 480*25^n + 360*24^n - 480*23^n - 720*22^n -240*21^n - 540*20^n + 1380*19^n + 750*18^n + 60*17^n - 210*16^n - 1535*15^n - 1820*14^n + 2250*13^n + 1800*12^n - 2820*11^n + 300*10^n + 2040*9^n + 340*8^n - 1815*7^n + 510*6^n - 1350*5^n + 1350*4^n + 274*3^n -548*2^n + 120), {n, 4, 20}] (* Vincenzo Librandi, Jun 17 2013 *) CROSSREFS Cf. A051114. Sequence in context: A349235 A045131 A365868 * A206340 A056087 A122692 Adjacent sequences: A056046 A056047 A056048 * A056050 A056051 A056052 KEYWORD nonn AUTHOR Vladeta Jovovic, Goran Kilibarda, Zoran Maksimovic, Jul 25 2000 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 23 20:34 EDT 2024. Contains 372765 sequences. (Running on oeis4.)