Sequence Grass

Studies of Boolean functions
sequences related to Boolean functions

Sequences Grass_(Drop)

	0	1	2	3	4	5	6
🌊 Grass (A001146)	2	4	16	256	65536	4294967296	18446744073709551616
💧 GrassDrop (~A111403)	2	2	12	240	65280	4294901760	18446744069414584320

a ↦ all

Grass(a)
GrassDrop(a)

is the number of BF with

a.

half

	0	1	2	3	4	5	6
🌊 HalfGrass (A058891)	1	2	8	128	32768	2147483648	9223372036854775808
💧 HalfGrassDrop	1	1	6	120	32640	2147450880	9223372034707292160

a ↦ dense ♂

HalfGrass(a) is the number of dense male BF with arity a.

SmallGrass = Grass − 1
SmallGrassDrop is like GrassDrop, but the first entry is 1 instead of 2.

	0	1	2	3	4	5	6
🌊 SmallGrass (A051179)	1	3	15	255	65535	4294967295	18446744073709551615
💧 SmallGrassDrop (~A111403)	1	2	12	240	65280	4294901760	18446744069414584320