A099407 - cp's OEIS frontend

A099407 Number of points of self-intersection of the path of a billiard ball traveling at a 45-degree angle on a prime(n) X prime(n+1) billiard table. Also equal to 1/2 the number of the lattice points lying within a prime(n) X prime(n+1) rectangle.

n	a(n)
1	1
2	4
3	12
4	30
5	60
6	96
7	144
8	198
9	308
10	420
11	540
12	720
13	840
14	966
15	1196
16	1508
17	1740
18	1980
19	2310
20	2520
21	2808
22	3198
23	3608
24	4224
25	4800
26	5100
27	5406
28	5724
29	6048
30	7056
31	8190
32	8840
33	9384
34	10212
35	11100
36	11700
37	12636
38	13446
39	14276
40	15308
41	16020
42	17100
43	18240
44	18816

[1, 4, 12, 30, 60, 96, 144, 198, 308, 420, 540, 720, 840, 966, 1196, 1508, 1740, 1980, 2310, 2520, 2808, 3198, 3608, 4224, 4800, 5100, 5406, 5724, 6048, 7056, 8190, 8840, 9384, 10212, 11100, 11700, 12636, 13446, 14276, 15308, 16020, 17100, 18240, 18816]

cp's OEIS Frontend

A099407 Number of points of self-intersection of the path of a billiard ball traveling at a 45-degree angle on a prime(n) X prime(n+1) billiard table. Also equal to 1/2 the number of the lattice points lying within a prime(n) X prime(n+1) rectangle.

Table of values

List of values