Template:Families of Boolean functions/sequences/arity to count

			arity $n$
			0	1	2	3	4	5
		balanced families (central values of Template:Oeislink)	0	1	3	14	870	18796230
$\frac{(2^{2^{n-1}})(2^n-1)}{2^n}$	Template:Boolf-seq	introverted families	0	1	3	14	240	63488
$\frac{2^{2^n}}{2^n}=2^{(2^n-n)}$	Template:Boolf-seq	extroverted families (BF with a particular consul)	2	2	4	32	4096	134217728
$2^n-n-1$		Eulerian numbers	0	0	1	4	11	26
$\frac{2^{2^n}}{2^{n+1}}=2^{(2^n-n-1)}$	Template:Boolf-seq	sharp families (BF with a particular prefect)	1	1	2	16	2048	67108864
$\frac{2^{2^n}+(2^{2^{n-1}+1})(2^n-1)}{2^{n+1}}$	Template:Boolf-seq	blunt families super-families	1	2	5	30	2288	67172352
$\frac{2^{2^n}+(2^{2^{n-1}})(2^n-1)}{2^n}$	Template:Boolf-seq	families	2	3	7	46	4336	134281216
	Template:Boolf-seq	sharp super-families		1	1	8	1024	33554432
	Template:Boolf-seq	blunt super-families		1	4	22	1264	33617920
	Template:Boolf-seq	families with maximal size $2^n$ (right column of Template:Boolf-seq)	2	1	2	23	3904	134156284
		blunt families with maximal size $2^n$	1	0	0	7	1856	67047420

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Families of Boolean functions#sequences

contains Template:Tl