A344567 - cp's OEIS frontend

A344567 A(n, k) = [x^k] 2 / (1 - (2n - 1)x + sqrt(1 - 2x - 3x^2)). The number of n-colored Motzkin arcs of length k. Array read by ascending antidiagonals, n >= 0 and k >= 0.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	5
13	4
14	3
15	1
16	4
17	10
18	13
19	9
20	6
21	1
22	5
23	17
24	34
25	35
26	21
27	15
28	1
29	6
30	26
31	73
32	117
33	96
34	51
35	36
36	1
37	7
38	37
39	136
40	315
41	405
42	267
43	127
44	91
45	1
46	8
47	50
48	229
49	713
50	1362
51	1407
52	750
53	323
54	232
55	1
56	9
57	65
58	358
59	1419
60	3741
61	5895
62	4899
63	2123
64	835
65	603

[1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 3, 5, 4, 3, 1, 4, 10, 13, 9, 6, 1, 5, 17, 34, 35, 21, 15, 1, 6, 26, 73, 117, 96, 51, 36, 1, 7, 37, 136, 315, 405, 267, 127, 91, 1, 8, 50, 229, 713, 1362, 1407, 750, 323, 232, 1, 9, 65, 358, 1419, 3741, 5895, 4899, 2123, 835, 603]

cp's OEIS Frontend

A344567 A(n, k) = [x^k] 2 / (1 - (2n - 1)x + sqrt(1 - 2x - 3x^2)). The number of n-colored Motzkin arcs of length k. Array read by ascending antidiagonals, n >= 0 and k >= 0.

Table of values

List of values

cp's OEIS Frontend

A344567 A(n, k) = [x^k] 2 / (1 - (2*n - 1)*x + sqrt(1 - 2*x - 3*x^2)). The number of n-colored Motzkin arcs of length k. Array read by ascending antidiagonals, n >= 0 and k >= 0.

Table of values

List of values

A344567 A(n, k) = [x^k] 2 / (1 - (2n - 1)x + sqrt(1 - 2x - 3x^2)). The number of n-colored Motzkin arcs of length k. Array read by ascending antidiagonals, n >= 0 and k >= 0.