The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A002077

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A002077

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

#30 by N. J. A. Sloane at Fri Oct 27 03:32:10 EDT 2023

STATUS

editing

approved

#29 by N. J. A. Sloane at Fri Oct 27 03:32:07 EDT 2023

FORMULA

A002080(n) = Sum_{k=01..n} a(nk)*binomial(n,k). Also A000609(n-1) = Sum_{k=01..n} a(nk)*binomial(n,k)*2^k. - Alastair D. King, Mar 17, 2023.

STATUS

approved

editing

#28 by N. J. A. Sloane at Wed Oct 25 22:02:29 EDT 2023

STATUS

editing

approved

#27 by N. J. A. Sloane at Wed Oct 25 22:02:27 EDT 2023

FORMULA

A002080(n) = Sum_{k=0..n} a(n)*binomial(n,k). Also A000609(n) = Sum_{k=0..n} a(n)*binomial(n,k)*2^k. - Alastair D. King, Mar 17, 2023.

STATUS

approved

editing

#26 by N. J. A. Sloane at Wed Oct 25 21:52:49 EDT 2023

STATUS

editing

approved

#25 by N. J. A. Sloane at Wed Oct 25 21:52:47 EDT 2023

FORMULA

A002080(n) = Sum_{k=0..n} a(n)*binomial(n,k). - Alastair D. King, Mar 17, 2023.

STATUS

approved

editing

#24 by N. J. A. Sloane at Wed Oct 25 21:25:41 EDT 2023

STATUS

editing

approved

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

LINKS

Alastair D. King, <a href="/A002080/a002080.pdf">Comments on A002080 and related sequences based on threshold functions</a>, Oct 24 Mar 17 2023.

STATUS

approved

editing

#22 by N. J. A. Sloane at Wed Oct 25 13:01:31 EDT 2023

STATUS

editing

approved

#21 by N. J. A. Sloane at Wed Oct 25 13:01:28 EDT 2023

LINKS

Alastair D. King, <a href="/A002080/a002080.pdf">Comments on A002080 and related sequences based on threshold functions</a>, Oct 24 2023.

STATUS

approved

editing