Sequence Balm

$\text{Balm}(n)=\frac{2^{2^n}+(2^{2^{n-1}+1})(2^n-1)}{2^{n+1}}$

Sequences Balm_(Drop)

	0	1	2	3	4	5	6	7
🌊 Balm (Template:Oeis)	1	2	5	30	2288	67172352	144115192303714304	1329227995784915891206435945914040320
💧 BalmDrop	1	1	3	25	2258	67170064	144115192236541952	1329227995784915891062320753610326016

a ↦ blunt families

Balm(a) BalmDrop(a)

is the number of Template:Boolf-prop Template:Boolf-prop with

Template:Boolf-prop Template:Boolf-prop

a.