A211192 - cp's OEIS frontend

A211192 Consider all distinct functions f representable as x -> x^x^...^x with n x's and parentheses inserted in all possible ways; sequence gives difference between numbers of f with f(0)=1 and numbers of f with f(0)=0, with conventions that 0^0=1^0=1^1=1, 0^1=0.

n	a(n)
0	0
1	-1
2	1
3	0
4	2
5	1
6	8
7	10
8	39
9	72
10	225
11	506
12	1434
13	3550
14	9767
15	25391
16	69293
17	185061
18	505843
19	1372744
20	3769842
21	10339104
22	28546539
23	78890525
24	218945822
25	608657861
26	1697106780
27	4740593393
28	13272626627
29	37224982494
30	104599603493
31	294384019508
32	829836855332

[0, -1, 1, 0, 2, 1, 8, 10, 39, 72, 225, 506, 1434, 3550, 9767, 25391, 69293, 185061, 505843, 1372744, 3769842, 10339104, 28546539, 78890525, 218945822, 608657861, 1697106780, 4740593393, 13272626627, 37224982494, 104599603493, 294384019508, 829836855332]

cp's OEIS Frontend

A211192 Consider all distinct functions f representable as x -> x^x^...^x with n x's and parentheses inserted in all possible ways; sequence gives difference between numbers of f with f(0)=1 and numbers of f with f(0)=0, with conventions that 0^0=1^0=1^1=1, 0^1=0.

Table of values

List of values