A341418 - cp's OEIS frontend

A341418 Triangle read by rows: T(n, m) gives the sum of the weights of weighted compositions of n with m parts from generalized pentagonal numbers {A001318(k)}_{k>=1}.

n	a(n)
1	1
2	1
3	1
4	0
5	2
6	1
7	0
8	1
9	3
10	1
11	-1
12	0
13	3
14	4
15	1
16	0
17	-2
18	1
19	6
20	5
21	1
22	-1
23	-2
24	-3
25	4
26	10
27	6
28	1
29	0
30	-2
31	-6
32	-3
33	10
34	15
35	7
36	1
37	0
38	-2
39	-6
40	-12
41	0
42	20
43	21
44	8
45	1
46	0
47	1
48	-6
49	-16
50	-19
51	9
52	35
53	28
54	9
55	1
56	0
57	0
58	0
59	-16
60	-35
61	-24
62	28
63	56
64	36
65	10
66	1
67	1
68	2
69	3
70	-6
71	-40
72	-65
73	-21
74	62
75	84
76	45
77	11
78	1

[1, 1, 1, 0, 2, 1, 0, 1, 3, 1, -1, 0, 3, 4, 1, 0, -2, 1, 6, 5, 1, -1, -2, -3, 4, 10, 6, 1, 0, -2, -6, -3, 10, 15, 7, 1, 0, -2, -6, -12, 0, 20, 21, 8, 1, 0, 1, -6, -16, -19, 9, 35, 28, 9, 1, 0, 0, 0, -16, -35, -24, 28, 56, 36, 10, 1, 1, 2, 3, -6, -40, -65, -21, 62, 84, 45, 11, 1]

cp's OEIS Frontend

A341418 Triangle read by rows: T(n, m) gives the sum of the weights of weighted compositions of n with m parts from generalized pentagonal numbers {A001318(k)}_{k>=1}.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	0
5	2
6	1
7	0
8	1
9	3
10	1
11	-1
12	0
13	3
14	4
15	1
16	0
17	-2
18	1
19	6
20	5
21	1
22	-1
23	-2
24	-3
25	4
26	10
27	6
28	1
29	0
30	-2
31	-6
32	-3
33	10
34	15
35	7
36	1
37	0
38	-2
39	-6
40	-12
41	0
42	20
43	21
44	8
45	1
46	0
47	1
48	-6
49	-16
50	-19
51	9
52	35
53	28
54	9
55	1
56	0
57	0
58	0
59	-16
60	-35
61	-24
62	28
63	56
64	36
65	10
66	1
67	1
68	2
69	3
70	-6
71	-40
72	-65
73	-21
74	62
75	84
76	45
77	11
78	1

n	a(n)
1	1
2	1
3	1
4	0
5	2
6	1
7	0
8	1
9	3
10	1
11	-1
12	0
13	3
14	4
15	1
16	0
17	-2
18	1
19	6
20	5
21	1
22	-1
23	-2
24	-3
25	4
26	10
27	6
28	1
29	0
30	-2
31	-6
32	-3
33	10
34	15
35	7
36	1
37	0
38	-2
39	-6
40	-12
41	0
42	20
43	21
44	8
45	1
46	0
47	1
48	-6
49	-16
50	-19
51	9
52	35
53	28
54	9
55	1
56	0
57	0
58	0
59	-16
60	-35
61	-24
62	28
63	56
64	36
65	10
66	1
67	1
68	2
69	3
70	-6
71	-40
72	-65
73	-21
74	62
75	84
76	45
77	11
78	1

n	a(n)
1	1
2	1
3	1
4	0
5	2
6	1
7	0
8	1
9	3
10	1
11	-1
12	0
13	3
14	4
15	1
16	0
17	-2
18	1
19	6
20	5
21	1
22	-1
23	-2
24	-3
25	4
26	10
27	6
28	1
29	0
30	-2
31	-6
32	-3
33	10
34	15
35	7
36	1
37	0
38	-2
39	-6
40	-12
41	0
42	20
43	21
44	8
45	1
46	0
47	1
48	-6
49	-16
50	-19
51	9
52	35
53	28
54	9
55	1
56	0
57	0
58	0
59	-16
60	-35
61	-24
62	28
63	56
64	36
65	10
66	1
67	1
68	2
69	3
70	-6
71	-40
72	-65
73	-21
74	62
75	84
76	45
77	11
78	1