Discrete Vector Models for Catalysis and Autocatalysis

Table 6

Counting values of partition vectors u and v and their properties concerning vector catalysis depending on the natural number n of the partition lattice.

Counting value	a	ln(𝑎)	b	R^2
N	5.2 e−02	−3.0	2.1	0.99992
𝑁𝐮,𝐯𝑁2=()	1.0 e−03	−6.9	4.3	0.99996
𝑁𝐮−𝐯	2.9 e−02	−3.5	2.4	0.99997
𝑁𝐮̸≈𝐯	3.5 e−05	−10.2	4.7	0.99996
𝑁𝐮(𝐩𝐨𝐭)𝐯	2.3 e−08	−17.6	5.7	0.99992
𝑁𝐮(𝐜≤20)𝐯	9.5 e−09	−18.5	5.7	0.99989
𝑁^∗𝐮(𝐚𝐮𝐭𝐨)𝐯	2.4 e−11	−24.5	6.6	0.99984
𝑁^∗𝐮(𝐌𝐚𝐬𝐭𝐞𝐫)𝐯	3.3 e−13	−28.7	7.3	0.99997
𝑁^∗𝐮(𝐒𝐥𝐚𝐯𝐞)𝐯	1.2 e−10	−22.8	6.2	0.99941

∗Counting values were calculated up to 𝑛=24.