A211802 - cp's OEIS frontend

A211802 R(k,n) = number of ordered triples (w,x,y) with all terms in {1,...,n} and 2*w^k < x^k + y^k; square array read by descending antidiagonals.

n	a(n)
1	0
2	3
3	0
4	11
5	3
6	0
7	28
8	13
9	3
10	0
11	56
12	32
13	13
14	3
15	0
16	99
17	64
18	34
19	13
20	3
21	0
22	159
23	113
24	68
25	34
26	13
27	3
28	0
29	240
30	181
31	117
32	70
33	34
34	13
35	3
36	0
37	344
38	272
39	187
40	125
41	70
42	34
43	13
44	3
45	0
46	475
47	388
48	282
49	197
50	125
51	70
52	34
53	13
54	3
55	0
56	635
57	535
58	406
59	292
60	203
61	125
62	70
63	34
64	13
65	3
66	0

[0, 3, 0, 11, 3, 0, 28, 13, 3, 0, 56, 32, 13, 3, 0, 99, 64, 34, 13, 3, 0, 159, 113, 68, 34, 13, 3, 0, 240, 181, 117, 70, 34, 13, 3, 0, 344, 272, 187, 125, 70, 34, 13, 3, 0, 475, 388, 282, 197, 125, 70, 34, 13, 3, 0, 635, 535, 406, 292, 203, 125, 70, 34, 13, 3, 0]

cp's OEIS Frontend

A211802 R(k,n) = number of ordered triples (w,x,y) with all terms in {1,...,n} and 2*w^k < x^k + y^k; square array read by descending antidiagonals.

Table of values

List of values

n	a(n)
1	0
2	3
3	0
4	11
5	3
6	0
7	28
8	13
9	3
10	0
11	56
12	32
13	13
14	3
15	0
16	99
17	64
18	34
19	13
20	3
21	0
22	159
23	113
24	68
25	34
26	13
27	3
28	0
29	240
30	181
31	117
32	70
33	34
34	13
35	3
36	0
37	344
38	272
39	187
40	125
41	70
42	34
43	13
44	3
45	0
46	475
47	388
48	282
49	197
50	125
51	70
52	34
53	13
54	3
55	0
56	635
57	535
58	406
59	292
60	203
61	125
62	70
63	34
64	13
65	3
66	0

n	a(n)
1	0
2	3
3	0
4	11
5	3
6	0
7	28
8	13
9	3
10	0
11	56
12	32
13	13
14	3
15	0
16	99
17	64
18	34
19	13
20	3
21	0
22	159
23	113
24	68
25	34
26	13
27	3
28	0
29	240
30	181
31	117
32	70
33	34
34	13
35	3
36	0
37	344
38	272
39	187
40	125
41	70
42	34
43	13
44	3
45	0
46	475
47	388
48	282
49	197
50	125
51	70
52	34
53	13
54	3
55	0
56	635
57	535
58	406
59	292
60	203
61	125
62	70
63	34
64	13
65	3
66	0

n	a(n)
1	0
2	3
3	0
4	11
5	3
6	0
7	28
8	13
9	3
10	0
11	56
12	32
13	13
14	3
15	0
16	99
17	64
18	34
19	13
20	3
21	0
22	159
23	113
24	68
25	34
26	13
27	3
28	0
29	240
30	181
31	117
32	70
33	34
34	13
35	3
36	0
37	344
38	272
39	187
40	125
41	70
42	34
43	13
44	3
45	0
46	475
47	388
48	282
49	197
50	125
51	70
52	34
53	13
54	3
55	0
56	635
57	535
58	406
59	292
60	203
61	125
62	70
63	34
64	13
65	3
66	0