cp's OEIS Frontend

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.

A322225 Triangle, read by rows, each row n being defined by g.f. Product_{k=1..n} (k + x - k*x^2), for n >= 0.

Table of values

n a(n)
0 1
1 1
2 1
3 -1
4 2
5 3
6 -3
7 -3
8 2
9 6
10 11
11 -12
12 -21
13 12
14 11
15 -6
16 24
17 50
18 -61
19 -140
20 75
21 140
22 -61
23 -50
24 24
25 120
26 274
27 -375
28 -1011
29 540
30 1475
31 -540
32 -1011
33 375
34 274
35 -120
36 720
37 1764
38 -2696
39 -8085
40 4479
41 15456
42 -5005
43 -15456
44 4479
45 8085
46 -2696
47 -1764
48 720
49 5040
50 13068
51 -22148
52 -71639
53 42140
54 169266
55 -50932
56 -221389
57 50932
58 169266
59 -42140
60 -71639
61 22148
62 13068
63 -5040
64 40320
65 109584
66 -204436
67 -699804
68 442665
69 1969380
70 -575310
71 -3176172
72 593523
73 3176172
74 -575310
75 -1969380
76 442665
77 699804
78 -204436
79 -109584
80 40320
81 362880
82 1026576
83 -2093220
84 -7488928
85 5124105
86 24465321
87 -7192395
88 -46885278
89 7343325
90 57764619
91 -7343325
92 -46885278
93 7192395
94 24465321
95 -5124105
96 -7488928
97 2093220
98 1026576
99 -362880

List of values

[1, 1, 1, -1, 2, 3, -3, -3, 2, 6, 11, -12, -21, 12, 11, -6, 24, 50, -61, -140, 75, 140, -61, -50, 24, 120, 274, -375, -1011, 540, 1475, -540, -1011, 375, 274, -120, 720, 1764, -2696, -8085, 4479, 15456, -5005, -15456, 4479, 8085, -2696, -1764, 720, 5040, 13068, -22148, -71639, 42140, 169266, -50932, -221389, 50932, 169266, -42140, -71639, 22148, 13068, -5040, 40320, 109584, -204436, -699804, 442665, 1969380, -575310, -3176172, 593523, 3176172, -575310, -1969380, 442665, 699804, -204436, -109584, 40320, 362880, 1026576, -2093220, -7488928, 5124105, 24465321, -7192395, -46885278, 7343325, 57764619, -7343325, -46885278, 7192395, 24465321, -5124105, -7488928, 2093220, 1026576, -362880]