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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A247706 Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape P; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

n a(n)
0 1
1 1
2 0
3 3
4 0
5 2
6 16
7 20
8 20
9 0
10 135
11 204
12 140
13 16
14 6
15 944
16 1432
17 1164
18 296
19 170
20 0
21 4814
22 8796
23 8452
24 4068
25 1708
26 92
27 20
28 26435
29 58656
30 66994
31 41648
32 17494
33 2700
34 762
35 0
36 158761
37 410000
38 520728
39 371456
40 175810
41 46648
42 12876
43 440
44 62
45 978044
46 2783560
47 3836254
48 3107308
49 1696312
50 609772
51 172724
52 18220
53 3160
54 0

List of values

[1, 1, 0, 3, 0, 2, 16, 20, 20, 0, 135, 204, 140, 16, 6, 944, 1432, 1164, 296, 170, 0, 4814, 8796, 8452, 4068, 1708, 92, 20, 26435, 58656, 66994, 41648, 17494, 2700, 762, 0, 158761, 410000, 520728, 371456, 175810, 46648, 12876, 440, 62, 978044, 2783560, 3836254, 3107308, 1696312, 609772, 172724, 18220, 3160, 0]