A100240 - cp's OEIS frontend

A100240 G.f. A(x) satisfies: 4^n/2 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: ((4+z)^n + z^n)/2 = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.

n	a(n)
0	1
1	1
2	2
3	2
4	0
5	-4
6	-6
7	2
8	22
9	30
10	-26
11	-154
12	-172
13	288
14	1190
15	990
16	-3040
17	-9620
18	-4970
19	31350
20	79120
21	12580
22	-318210
23	-649610
24	174150
25	3185686
26	5233514
27	-4273078
28	-31452228
29	-40495600
30	64593386
31	305819154
32	290278982
33	-835918098
34	-2921409370
35	-1771072346
36	9995237616
37	27317409988

[1, 1, 2, 2, 0, -4, -6, 2, 22, 30, -26, -154, -172, 288, 1190, 990, -3040, -9620, -4970, 31350, 79120, 12580, -318210, -649610, 174150, 3185686, 5233514, -4273078, -31452228, -40495600, 64593386, 305819154, 290278982, -835918098, -2921409370, -1771072346, 9995237616, 27317409988]

cp's OEIS Frontend

A100240 G.f. A(x) satisfies: 4^n/2 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: ((4+z)^n + z^n)/2 = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.

Table of values

List of values