Sequence Violet

Violet is the difference of Template:Boolf-seq and Template:Boolf-seq: Template:Spaces $\text{Violet}(n)=\text{Lotus}(n)-2^{2^n-1}$

0	1	2 − 1
1	0	2 − 2
2	2	10 − 8
3	90	218 − 128
4	31826	64594 − 32768
5	2147158386	4294642034 − 2147483648
6	9223372011085950170	18446744047940725978 − 9223372036854775808
7	170141183460469231602560095290109272522	340282366920938463334247399005993378250 − 170141183460469231731687303715884105728

All entries except the first are even. Their halves are Template:Oeis.

Violet is the diagonal of the triangles Template:Boolf-seq.

a ↦ dense ♀

Violet(a) is the number of Template:Boolf-prop Template:Boolf-prop BF with Template:Boolf-prop a.