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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.

A242514 a(n) is the maximal number of shortest knight's move paths, from origin at center of an infinite open chessboard, to square with coordinates <= n.

Table of values

n a(n)
0 1
1 12
2 54
3 54
4 54
5 54
6 85
7 240
8 240
9 588
10 1512
11 1512
12 3564
13 8700
14 8700
15 19965
16 47124
17 47124
18 105963
19 244244
20 244244
21 540540
22 1224080
23 1224080
24 2674984
25 5974956
26 5974956
27 12924522
28 28553200
29 28553200
30 61250490
31 134104432
32 134104432
33 285689624
34 620826672
35 620826672
36 1314933000
37 2839363800
38 2839363800
39 5984393805
40 12852021420
41 12852021420
42 26973910215
43 57655813500
44 57655813500
45 120569654700
46 256649540640
47 256649540640
48 535009931280
49 1134692142540
50 1134692142540
51 2358818719950
52 4986548028000
53 4986548028000
54 10340761857030
55 21796919253120
56 21796919253120
57 45102668144040
58 94821703158000
59 94821703158000
60 195825873726600
61 410720543218440
62 410720543218440
63 846739738410930
64 1772108740270440
65 1772108740270440
66 3647615648094990
67 7618942347630120
68 7618942347630120
69 15660031688889048
70 32650847564232672

List of values

[1, 12, 54, 54, 54, 54, 85, 240, 240, 588, 1512, 1512, 3564, 8700, 8700, 19965, 47124, 47124, 105963, 244244, 244244, 540540, 1224080, 1224080, 2674984, 5974956, 5974956, 12924522, 28553200, 28553200, 61250490, 134104432, 134104432, 285689624, 620826672, 620826672, 1314933000, 2839363800, 2839363800, 5984393805, 12852021420, 12852021420, 26973910215, 57655813500, 57655813500, 120569654700, 256649540640, 256649540640, 535009931280, 1134692142540, 1134692142540, 2358818719950, 4986548028000, 4986548028000, 10340761857030, 21796919253120, 21796919253120, 45102668144040, 94821703158000, 94821703158000, 195825873726600, 410720543218440, 410720543218440, 846739738410930, 1772108740270440, 1772108740270440, 3647615648094990, 7618942347630120, 7618942347630120, 15660031688889048, 32650847564232672]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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