The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A002080 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A002080

Number of N-equivalence classes of self-dual threshold functions of n or fewer variables.
(history; published version)

#46 by N. J. A. Sloane at Fri Oct 27 09:55:36 EDT 2023

STATUS

editing

approved

#45 by N. J. A. Sloane at Fri Oct 27 09:55:28 EDT 2023

FORMULA

a(n) = Sum_{k=1..n} A002077(k)*binomial(n,k) = (1/2^n)*Sum_{k=1..n} A000609(k-1)*binomial(n,k). - Alastair D. King, Mar 17, 2023.

STATUS

approved

editing

#44 by N. J. A. Sloane at Fri Oct 27 03:27:10 EDT 2023

STATUS

editing

approved

#43 by N. J. A. Sloane at Fri Oct 27 03:27:07 EDT 2023

FORMULA

a(n) = Sum_{k=01..n} A002077(nk)*binomial(n,k) = (1/2^n)*Sum_{k=01..n} A000609(nk)*binomial(n,k)/2^k. - Alastair D. King, Mar 17, 2023.

STATUS

approved

editing

#42 by N. J. A. Sloane at Wed Oct 25 22:06:03 EDT 2023

STATUS

editing

approved

#41 by N. J. A. Sloane at Wed Oct 25 22:06:01 EDT 2023

FORMULA

a(n) = Sum_{k=0..n} A002077(n)*binomial(n,k) = Sum_{k=0..n} A000609(n)*binomial(n,k)/2^k. - Alastair D. King, Mar 17, 2023.

STATUS

approved

editing

#40 by N. J. A. Sloane at Wed Oct 25 21:52:10 EDT 2023

STATUS

editing

approved

#39 by N. J. A. Sloane at Wed Oct 25 21:52:08 EDT 2023

FORMULA

a(n) = Sum_{k=0..n} A002077(n)*binomial(n,k). - Alastair D. King, Mar 17, 2023.

STATUS

approved

editing

#38 by N. J. A. Sloane at Wed Oct 25 21:24:55 EDT 2023

STATUS

editing

approved

#37 by N. J. A. Sloane at Wed Oct 25 21:24:53 EDT 2023

EXTENSIONS

Better description and corrected value of a(7) from Alastair King (see link) - N. J. A. Sloane, Oct 24 2023.

STATUS

approved

editing