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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A262458 Number of possible conjunction tables in the n-valued logics. 2
1, 1, 256, 14348907, 281474976710656, 2910383045673370361328125, 22452257707354557240087211123792674816, 174251498233690814305510551794710260107945042018748343, 1766847064778384329583297500742918515827483896875618958121606201292619776 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

In a conjunction table, the only requirements are (i) True ^ True = True; and (ii) no other conjunction gives True. So each of the other n^2-1 entries can be assigned any of n-1 non-True values, giving raise to the formula (n-1)^(n^2-1).

REFERENCES

H. Eves, C. V. Newsom, An Introduction to the Foundation and Fundamental concepts of Mathematics, Rinehart & Co., New York, 1958.

LINKS

Table of n, a(n) for n=1..9.

FORMULA

a(n) = (n-1)^(n^2-1).

PROG

(PARI) a(n)=(n-1)^(n^2-1) \\ Charles R Greathouse IV, Sep 23 2015

CROSSREFS

Cf. A076728 (number of negation tables), A262459 (number of logics).

Sequence in context: A227606 A016880 A227662 * A016940 A017012 A017096

Adjacent sequences:  A262455 A262456 A262457 * A262459 A262460 A262461

KEYWORD

nonn,easy

AUTHOR

Max Alekseyev, Sep 23 2015

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 December 3 08:56 EST 2021. Contains 349445 sequences. (Running on oeis4.)