Online encyclopedia of Number Pyramids
Default
By data
search
Pyramid 961
Preview
$$U_{961}(x, y) = \frac{- 2 x y - \sqrt{4 x^{2} + 4 x y + 1} - 1}{2 y^{2} - 2}$$
Pyramid 962
Preview
$$U_{962}(x, y) = \frac{- 2 x y + \sqrt{4 x^{2} + 4 x y + 1} - 1}{x^{2} \left(2 y^{2} - 2\right)}$$
Pyramid 963
Preview
$$U_{963}(x, y) = \frac{1 - \sqrt{- 4 x^{2} - 4 x y + 1}}{2 x^{2} + 2 x y}$$
Pyramid 964
Preview
$$U_{964}(x, y) = x^{2} + y^{2} + 1$$
Pyramid 965
Preview
$$U_{965}(x, y) = x y + 1$$
Pyramid 966
Preview
$$U_{966}(x, y) = x^{2} y + x + 1$$
Pyramid 967
Preview
$$U_{967}(x, y) = \frac{- x - \sqrt{- 4 x^{2} y + x^{2} - 2 x + 1} + 1}{2 x^{2} y}$$
Pyramid 968
Preview
$$U_{968}(x, y) = - \frac{x}{2} + \frac{\sqrt{- 4 x^{2} y + x^{2} - 2 x + 1}}{2} + \frac{1}{2}$$
Pyramid 969
Preview
$$U_{969}(x, y) = \frac{\sqrt{4 x + 1} \left(\sqrt{4 y + 1} + 1\right)}{2}$$
Pyramid 970
Preview
$$U_{970}(x, y) = \sqrt{2 x \left(\sqrt{4 y + 1} + 1\right) + 1}$$
Pyramid 971
Preview
$$U_{971}(x, y) = x \left(4 y + 1\right)^{\frac{3}{2}} + 1$$
Pyramid 972
Preview
$$U_{972}(x, y) = \frac{1}{- x \left(4 y + 1\right)^{\frac{3}{2}} + 1}$$
Pyramid 973
Preview
$$U_{973}(x, y) = \left(x \left(4 y + 1\right)^{\frac{3}{2}} + 1\right)^{2}$$
Pyramid 974
Preview
$$U_{974}(x, y) = \frac{1}{\left(- x \left(4 y + 1\right)^{\frac{3}{2}} + 1\right)^{2}}$$
Pyramid 975
Preview
$$U_{975}(x, y) = \frac{1 - \sqrt{\sqrt{4 y + 1} \left(- 16 x y - 4 x\right) + 1}}{\sqrt{4 y + 1} \left(8 x y + 2 x\right)}$$
Pyramid 976
Preview
$$U_{976}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3 \sqrt{x \left(y + 1\right)}}$$
Pyramid 977
Preview
$$U_{977}(x, y) = 1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3}$$
Pyramid 978
Preview
$$U_{978}(x, y) = \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3}\right) \left(y + 1\right)$$
Pyramid 979
Preview
$$U_{979}(x, y) = \frac{1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3}}{y + 1}$$
Pyramid 980
Preview
$$U_{980}(x, y) = \frac{1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3}}{\left(y + 1\right)^{2}}$$
Page:
1
...
46
47
48
49
50
51
52
...
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