A120919 - cp's OEIS frontend

A120919 Cascadence of (1+x)^3; a triangle, read by rows of 3n+1 terms, that retains its original form upon convolving each row with [1,3,3,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 3n+1 terms remain in row n for n>=0.

n	a(n)
0	1
1	3
2	3
3	1
4	3
5	12
6	19
7	18
8	15
9	10
10	3
11	12
12	55
13	111
14	138
15	128
16	96
17	66
18	55
19	39
20	12
21	55
22	276
23	636
24	930
25	1005
26	876
27	669
28	498
29	360
30	263
31	240
32	177
33	55
34	276
35	1464
36	3666
37	5979
38	7317
39	7242
40	6138
41	4737
42	3506
43	2607
44	2046
45	1569
46	1212
47	1170
48	883
49	276
50	1464
51	8058
52	21369
53	37716

[1, 3, 3, 1, 3, 12, 19, 18, 15, 10, 3, 12, 55, 111, 138, 128, 96, 66, 55, 39, 12, 55, 276, 636, 930, 1005, 876, 669, 498, 360, 263, 240, 177, 55, 276, 1464, 3666, 5979, 7317, 7242, 6138, 4737, 3506, 2607, 2046, 1569, 1212, 1170, 883, 276, 1464, 8058, 21369, 37716]

cp's OEIS Frontend

A120919 Cascadence of (1+x)^3; a triangle, read by rows of 3n+1 terms, that retains its original form upon convolving each row with [1,3,3,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 3n+1 terms remain in row n for n>=0.

Table of values

List of values