A151684 - cp's OEIS frontend

A151684 Let c(n) = x^(2^n-1)(1-x^(2^n)), g(n) = 1 + x^(2^n-1) + x^(2^n), h(n) = Product_{i=1..n} g(i); then use g.f. (1+2x) - Sum_{n>=1} c(n)/h(n).

n	a(n)
0	1
1	1
2	1
3	0
4	-1
5	1
6	1
7	-1
8	0
9	0
10	-2
11	1
12	2
13	0
14	2
15	-1
16	-5
17	-1
18	1
19	3
20	7
21	1
22	-8
23	-8
24	-6
25	3
26	18
27	16
28	0
29	-17
30	-31
31	-21
32	19
33	51
34	47
35	3
36	-70
37	-106
38	-48
39	71
40	170
41	156
42	-18
43	-243
44	-318
45	-132
46	253
47	564
48	455
49	-130
50	-819
51	-1024
52	-341
53	952
54	1849
55	1355
56	-606
57	-2789
58	-3199
59	-727
60	3410
61	5979
62	3932
63	-2678
64	-9408
65	-9926
66	-1281
67	12047

[1, 1, 1, 0, -1, 1, 1, -1, 0, 0, -2, 1, 2, 0, 2, -1, -5, -1, 1, 3, 7, 1, -8, -8, -6, 3, 18, 16, 0, -17, -31, -21, 19, 51, 47, 3, -70, -106, -48, 71, 170, 156, -18, -243, -318, -132, 253, 564, 455, -130, -819, -1024, -341, 952, 1849, 1355, -606, -2789, -3199, -727, 3410, 5979, 3932, -2678, -9408, -9926, -1281, 12047]

cp's OEIS Frontend

A151684 Let c(n) = x^(2^n-1)(1-x^(2^n)), g(n) = 1 + x^(2^n-1) + x^(2^n), h(n) = Product_{i=1..n} g(i); then use g.f. (1+2x) - Sum_{n>=1} c(n)/h(n).

Table of values

List of values

cp's OEIS Frontend

A151684 Let c(n) = x^(2^n-1)*(1-x^(2^n)), g(n) = 1 + x^(2^n-1) + x^(2^n), h(n) = Product_{i=1..n} g(i); then use g.f. (1+2*x) - Sum_{n>=1} c(n)/h(n).

Table of values

List of values

A151684 Let c(n) = x^(2^n-1)(1-x^(2^n)), g(n) = 1 + x^(2^n-1) + x^(2^n), h(n) = Product_{i=1..n} g(i); then use g.f. (1+2x) - Sum_{n>=1} c(n)/h(n).