login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A056048 Number of 5-antichain covers of a labeled n-set. 2
0, 0, 0, 0, 6, 2116, 291966, 23312156, 1362515742, 65691305652, 2792020643502, 108871903828732, 3995501812110798, 140371634250355508, 4776934559777356158, 158783001150185585628, 5186356918189216064574, 167203226479257200020084, 5337930997910228958536334 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

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

G. C. Greubel, Table of n, a(n) for n = 0..670

K. S. Brown, Dedekind's problem

Eric Weisstein's World of Mathematics, Antichain covers

FORMULA

a(n) = (1/5!) * (31^n - 20*23^n + 60*19^n + 20*17^n + 10*16^n - 110*15^n - 120*14^n + 150*13^n + 120*12^n - 240*11^n + 20*10^n + 240*9^n + 40*8^n - 205*7^n + 60*6^n - 210*5^n + 210*4^n + 50*3^n - 100*2^n + 24).

MATHEMATICA

Table[(1/5!)*(31^n - 20*23^n + 60*19^n + 20*17^n + 10*16^n - 110*15^n - 120*14^n + 150*13^n + 120*12^n - 240*11^n + 20*10^n + 240*9^n + 40*8^n - 205*7^n + 60*6^n - 210*5^n + 210*4^n + 50*3^n - 100*2^n + 24), {n, 0, 25}] (* G. C. Greubel, Oct 07 2017 *)

PROG

(PARI) for(n=0, 25, print1((31^n - 20*23^n + 60*19^n + 20*17^n + 10*16^n - 110*15^n - 120*14^n + 150*13^n + 120*12^n - 240*11^n + 20*10^n + 240*9^n + 40*8^n - 205*7^n + 60*6^n - 210*5^n + 210*4^n + 50*3^n - 100*2^n + 24)/120, ", ")) \\ G. C. Greubel, Oct 07 2017

(MAGMA) [(31^n - 20*23^n + 60*19^n + 20*17^n + 10*16^n - 110*15^n - 120*14^n + 150*13^n + 120*12^n - 240*11^n + 20*10^n + 240*9^n + 40*8^n - 205*7^n + 60*6^n - 210*5^n + 210*4^n + 50*3^n - 100*2^n + 24)/120: n in [0..25]]; // G. C. Greubel, Oct 07 2017

CROSSREFS

Cf. A051113.

Sequence in context: A226461 A172943 A182789 * A051113 A067174 A153300

Adjacent sequences:  A056045 A056046 A056047 * A056049 A056050 A056051

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 20 12:05 EDT 2021. Contains 347586 sequences. (Running on oeis4.)