A340429 - cp's OEIS frontend

A340429 Array T(n, k) is the number x such that frac(xphi) + frac(nphi)frac(kphi) = 1 where phi is the golden ratio A001622 and frac(y) is the fractional part of y, read by antidiagonals.

n	a(n)
1	1
2	3
3	3
4	4
5	8
6	4
7	6
8	11
9	11
10	6
11	8
12	16
13	15
14	16
15	8
16	9
17	21
18	22
19	22
20	21
21	9
22	11
23	24
24	29
25	32
26	29
27	24
28	11
29	12
30	29
31	33
32	42
33	42
34	33
35	29
36	12
37	14
38	32
39	40
40	48
41	55
42	48
43	40
44	32
45	14
46	16
47	37
48	44
49	58
50	63
51	63
52	58
53	44
54	37
55	16
56	17
57	42
58	51
59	64
60	76
61	72
62	76
63	64
64	51
65	42
66	17

[1, 3, 3, 4, 8, 4, 6, 11, 11, 6, 8, 16, 15, 16, 8, 9, 21, 22, 22, 21, 9, 11, 24, 29, 32, 29, 24, 11, 12, 29, 33, 42, 42, 33, 29, 12, 14, 32, 40, 48, 55, 48, 40, 32, 14, 16, 37, 44, 58, 63, 63, 58, 44, 37, 16, 17, 42, 51, 64, 76, 72, 76, 64, 51, 42, 17]

cp's OEIS Frontend

A340429 Array T(n, k) is the number x such that frac(xphi) + frac(nphi)frac(kphi) = 1 where phi is the golden ratio A001622 and frac(y) is the fractional part of y, read by antidiagonals.

Table of values

List of values

n	a(n)
1	1
2	3
3	3
4	4
5	8
6	4
7	6
8	11
9	11
10	6
11	8
12	16
13	15
14	16
15	8
16	9
17	21
18	22
19	22
20	21
21	9
22	11
23	24
24	29
25	32
26	29
27	24
28	11
29	12
30	29
31	33
32	42
33	42
34	33
35	29
36	12
37	14
38	32
39	40
40	48
41	55
42	48
43	40
44	32
45	14
46	16
47	37
48	44
49	58
50	63
51	63
52	58
53	44
54	37
55	16
56	17
57	42
58	51
59	64
60	76
61	72
62	76
63	64
64	51
65	42
66	17

n	a(n)
1	1
2	3
3	3
4	4
5	8
6	4
7	6
8	11
9	11
10	6
11	8
12	16
13	15
14	16
15	8
16	9
17	21
18	22
19	22
20	21
21	9
22	11
23	24
24	29
25	32
26	29
27	24
28	11
29	12
30	29
31	33
32	42
33	42
34	33
35	29
36	12
37	14
38	32
39	40
40	48
41	55
42	48
43	40
44	32
45	14
46	16
47	37
48	44
49	58
50	63
51	63
52	58
53	44
54	37
55	16
56	17
57	42
58	51
59	64
60	76
61	72
62	76
63	64
64	51
65	42
66	17

cp's OEIS Frontend

A340429 Array T(n, k) is the number x such that frac(x*phi) + frac(n*phi)*frac(k*phi) = 1 where phi is the golden ratio A001622 and frac(y) is the fractional part of y, read by antidiagonals.

Table of values

List of values

A340429 Array T(n, k) is the number x such that frac(xphi) + frac(nphi)frac(kphi) = 1 where phi is the golden ratio A001622 and frac(y) is the fractional part of y, read by antidiagonals.

n	a(n)
1	1
2	3
3	3
4	4
5	8
6	4
7	6
8	11
9	11
10	6
11	8
12	16
13	15
14	16
15	8
16	9
17	21
18	22
19	22
20	21
21	9
22	11
23	24
24	29
25	32
26	29
27	24
28	11
29	12
30	29
31	33
32	42
33	42
34	33
35	29
36	12
37	14
38	32
39	40
40	48
41	55
42	48
43	40
44	32
45	14
46	16
47	37
48	44
49	58
50	63
51	63
52	58
53	44
54	37
55	16
56	17
57	42
58	51
59	64
60	76
61	72
62	76
63	64
64	51
65	42
66	17