A120914 - cp's OEIS frontend

A120914 Cascadence of (1+2x)^2; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,4,4] 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	4
2	4
3	4
4	20
5	36
6	32
7	16
8	20
9	116
10	256
11	288
12	212
13	144
14	80
15	116
16	720
17	1776
18	2388
19	2144
20	1504
21	1012
22	784
23	464
24	720
25	4656
26	12372
27	18800
28	19632
29	15604
30	10848
31	7648
32	5712
33	4736
34	2880
35	4656
36	30996
37	86912
38	144320
39	169332
40	151792
41	113456
42	79696
43	58176

[1, 4, 4, 4, 20, 36, 32, 16, 20, 116, 256, 288, 212, 144, 80, 116, 720, 1776, 2388, 2144, 1504, 1012, 784, 464, 720, 4656, 12372, 18800, 19632, 15604, 10848, 7648, 5712, 4736, 2880, 4656, 30996, 86912, 144320, 169332, 151792, 113456, 79696, 58176]

cp's OEIS Frontend

A120914 Cascadence of (1+2x)^2; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,4,4] 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