A120894 - cp's OEIS frontend

A120894 Cascadence of 1+x+x^2; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,1,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 2n+1 terms remain in row n for n>=0.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	3
6	2
7	1
8	2
9	5
10	7
11	6
12	5
13	3
14	2
15	5
16	12
17	18
18	18
19	14
20	10
21	10
22	7
23	5
24	12
25	30
26	48
27	50
28	42
29	34
30	27
31	22
32	24
33	17
34	12
35	30
36	78
37	128
38	140
39	126
40	103
41	83
42	73
43	63
44	53
45	59
46	42
47	30
48	78
49	206
50	346
51	394
52	369
53	312
54	259
55	219
56	189
57	175
58	154
59	131
60	150
61	108
62	78
63	206
64	552
65	946
66	1109

[1, 1, 1, 1, 2, 3, 2, 1, 2, 5, 7, 6, 5, 3, 2, 5, 12, 18, 18, 14, 10, 10, 7, 5, 12, 30, 48, 50, 42, 34, 27, 22, 24, 17, 12, 30, 78, 128, 140, 126, 103, 83, 73, 63, 53, 59, 42, 30, 78, 206, 346, 394, 369, 312, 259, 219, 189, 175, 154, 131, 150, 108, 78, 206, 552, 946, 1109]

cp's OEIS Frontend

A120894 Cascadence of 1+x+x^2; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,1,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 2n+1 terms remain in row n for n>=0.

Table of values

List of values