A222380 - cp's OEIS frontend

A222380 Number of distinct functions f representable as x -> x^x^...^x with n x's and parentheses inserted in all possible ways giving result f(0)=1, with conventions that 0^0=1^0=1^1=1, 0^1=0.

n	a(n)
0	0
1	0
2	1
3	1
4	3
5	5
6	14
7	29
8	77
9	179
10	472
11	1174
12	3100
13	8018
14	21370
15	56601
16	152337
17	409954
18	1113501
19	3030710
20	8298035
21	22780468
22	62800860
23	173586690
24	481335403
25	1337916253
26	3728371645
27	10412163861
28	29139846448
29	81705768401
30	229513225545
31	645777766253

[0, 0, 1, 1, 3, 5, 14, 29, 77, 179, 472, 1174, 3100, 8018, 21370, 56601, 152337, 409954, 1113501, 3030710, 8298035, 22780468, 62800860, 173586690, 481335403, 1337916253, 3728371645, 10412163861, 29139846448, 81705768401, 229513225545, 645777766253]

cp's OEIS Frontend

A222380 Number of distinct functions f representable as x -> x^x^...^x with n x's and parentheses inserted in all possible ways giving result f(0)=1, with conventions that 0^0=1^0=1^1=1, 0^1=0.

Table of values

List of values