Online encyclopedia of Number Pyramids
Default
By data
search
Pyramid 1361
Preview
$$U_{1361}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right)^{2} \sqrt{\frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{2 y^{3}} + 1}}{4 y^{2}}$$
Pyramid 1362
Preview
$$U_{1362}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x} \left(1 - \sqrt{1 - 4 y}\right)^{3}}{16 y^{3}} \right)}}{3} \right)}}{3 \sqrt{x}}$$
Pyramid 1363
Preview
$$U_{1363}(x, y) = \frac{3^{\frac{3}{4}} \sqrt{\frac{\sin{\left(\frac{\operatorname{asin}{\left(3 \sqrt{3} \sqrt{y} \right)}}{3} \right)}}{\sqrt{y}}} \left(x + 1\right)}{3}$$
Pyramid 1364
Preview
$$U_{1364}(x, y) = \frac{3^{\frac{3}{4}} \sqrt{\frac{\sin{\left(\frac{\operatorname{asin}{\left(3 \sqrt{3} \sqrt{y} \right)}}{3} \right)}}{\sqrt{y}}}}{3 \left(1 - x\right)}$$
Pyramid 1365
Preview
$$U_{1365}(x, y) = \frac{1 - \sqrt{- \frac{4 \cdot 3^{\frac{3}{4}} x \sqrt{\frac{\sin{\left(\frac{\operatorname{asin}{\left(3 \sqrt{3} \sqrt{y} \right)}}{3} \right)}}{\sqrt{y}}}}{3} + 1}}{2 x}$$
Pyramid 1366
Preview
$$U_{1366}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt[4]{3} \sqrt{\frac{x \sin{\left(\frac{\operatorname{asin}{\left(3 \sqrt{3} \sqrt{y} \right)}}{3} \right)}}{\sqrt{y}}}}{2} \right)}}{3} \right)}}{3 \sqrt{x}}$$
Pyramid 1367
Preview
$$U_{1367}(x, y) = \frac{\left(y + 1\right)^{2}}{\sqrt{1 - 4 x}}$$
Pyramid 1368
Preview
$$U_{1368}(x, y) = \frac{\left(y + 1\right)^{3}}{\sqrt{1 - 4 x}}$$
Pyramid 1369
Preview
$$U_{1369}(x, y) = \frac{1}{\sqrt{- 4 x \left(y + 1\right)^{2} + 1}}$$
Pyramid 1370
Preview
$$U_{1370}(x, y) = \frac{1}{\sqrt{- 4 x \left(y + 1\right)^{3} + 1}}$$
Pyramid 1371
Preview
$$U_{1371}(x, y) = \frac{y + 1}{\sqrt{- 4 x \left(y + 1\right) + 1}}$$
Pyramid 1372
Preview
$$U_{1372}(x, y) = \frac{\left(y + 1\right)^{2}}{\sqrt{- 4 x \left(y + 1\right) + 1}}$$
Pyramid 1373
Preview
$$U_{1373}(x, y) = \frac{\left(y + 1\right)^{3}}{\sqrt{- 4 x \left(y + 1\right) + 1}}$$
Pyramid 1374
Preview
$$U_{1374}(x, y) = \frac{\left(y + 1\right)^{3}}{\sqrt{- 4 x \left(y + 1\right)^{2} + 1}}$$
Pyramid 1375
Preview
$$U_{1375}(x, y) = \frac{\left(y + 1\right)^{3}}{\sqrt{- 4 x \left(y + 1\right)^{3} + 1}}$$
Pyramid 1376
Preview
$$U_{1376}(x, y) = \frac{\left(y + 1\right)^{2}}{\sqrt{- 4 x \left(y + 1\right)^{2} + 1}}$$
Pyramid 1377
Preview
$$U_{1377}(x, y) = \frac{1}{\sqrt{- \frac{4 x}{1 - y} + 1}}$$
Pyramid 1378
Preview
$$U_{1378}(x, y) = \frac{1}{\sqrt{- \frac{4 x}{\left(1 - y\right)^{2}} + 1}}$$
Pyramid 1379
Preview
$$U_{1379}(x, y) = \frac{1}{\sqrt{- \frac{4 x}{\left(1 - y\right)^{3}} + 1}}$$
Pyramid 1380
Preview
$$U_{1380}(x, y) = \frac{1}{\left(1 - y\right) \sqrt{- \frac{4 x}{1 - y} + 1}}$$
Page:
1
...
66
67
68
69
70
71
72
...
76
or
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
expand_less