Sequences related to monotonic Boolean functions
| Studies of Boolean functions sequences related to Boolean functions |
Sequences Dedekind(Drop)
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
|---|---|---|---|---|---|---|---|---|---|
| 🌊 Dedekind (A000372) | 2 | 3 | 6 | 20 | 168 | 7581 | 7828354 | 2414682040998 | 56130437228687557907788 |
| 💧 DedekindDrop | 2 | 1 | 3 | 14 | 148 | 7413 | 7820773 | 2414674212644 | 56130437226272875866790 |
| a ↦ monotonic BF | Dedekind(a) DedekindDrop(a) |
is the number of monotonic BF with | arity adicity |
a. |
Sequences Goldenrod(Drop)
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
|---|---|---|---|---|---|---|---|---|---|
| 🌊 Goldenrod (A003182) | 2 | 3 | 5 | 10 | 30 | 210 | 16353 | 490013148 | 1392195548889993358 |
| 💧 GoldenrodDrop (A006602) | 2 | 1 | 2 | 5 | 20 | 180 | 16143 | 489996795 | 1392195548399980210 |
| a ↦ monotonic EC | Goldenrod(a) GoldenrodDrop(a) |
is the number of monotonic equivalence classes (i.e. factions or clans) with | arity adicity |
a. |