cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A195882 Positive integers a for which there is a primitive (1/2)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

2, 3, 5, 7, 7, 10, 11, 11, 13, 13, 14, 15, 16, 17, 17, 18, 18, 19, 19, 21, 22, 23, 25, 26, 26, 27, 29, 29, 31, 32, 32, 32, 33, 34, 37, 38, 38, 39, 41, 42, 43, 46, 46, 48, 48, 48, 49, 53, 57, 58, 61, 62, 63, 64, 64, 66, 69, 73, 77, 78, 80, 80, 80, 86, 91, 93, 94, 95
Offset: 1

Views

Author

Clark Kimberling, Sep 25 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Examples

			Primitive (1/2)-Pythagorean triples
(c^2=a^2+b^2+k*a*b, where k=1/2):
2,3,4
3,16,17
5,14,16
7,16,19
7,90,92
10,91,94
11,42,46
11,224,227
13,16,23

Crossrefs

Cf. A195770, A195883, A195884, A195879.

Programs

A195921 Positive integers c for which there is a primitive (-3/2)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

2, 3, 5, 7, 9, 10, 11, 13, 15, 15, 15, 16, 17, 18, 19, 22, 23, 25, 26, 27, 29, 30, 32, 32, 33, 34, 35, 37, 38, 39, 41, 42, 45, 46, 48, 48, 48, 48, 51, 53, 54, 55, 57, 57, 61, 62, 63, 64, 64, 65, 66, 69, 69, 73, 75, 78, 78, 80, 80, 80, 86, 87, 90, 90, 93, 94, 95, 96
Offset: 1

Views

Author

Clark Kimberling, Sep 26 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Examples

			Primitive (-3/2)-Pythagorean triples
(c^2=a^2+b^2+k*a*b, where k=-3/2):
2,3,2
3,10,8
5,6,4
7,48,43
9,16,11
10,51,44
11,114,106
13,30,22
15,16,11
15,32,23

Crossrefs

Cf. A195770, A195918, A195922, A195923.

Programs

A195923 Positive integers c for which there is a primitive (-3/2)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

2, 8, 4, 43, 11, 44, 106, 22, 11, 23, 197, 29, 37, 142, 316, 32, 463, 79, 296, 638, 106, 58, 23, 113, 137, 506, 46, 172, 92, 149, 211, 88, 254, 134, 37, 43, 67, 253, 254, 352, 184, 109, 53, 407, 466, 242, 53, 71, 449, 529, 214, 74, 596, 667, 548, 58, 382
Offset: 1

Views

Author

Clark Kimberling, Sep 26 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Crossrefs

Cf. A195770, A195921, A195922.

Programs

A195998 Positive integers b for which there is a primitive (-2/3)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

3, 18, 18, 45, 10, 20, 84, 35, 60, 135, 28, 198, 77, 126, 273, 104, 45, 360, 216, 459, 88, 170, 570, 209, 330, 693, 130, 105, 36, 299, 468, 350, 55, 630, 56, 238, 464, 189, 527, 304, 63, 91, 665, 740, 297, 110, 460, 126, 550, 429, 143, 135, 90, 187, 189
Offset: 1

Views

Author

Clark Kimberling, Sep 26 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Crossrefs

Cf. A195770, A195994, A195997, A195999.

Programs

A196006 Positive integers c for which there is a primitive (2/3)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

11, 9, 33, 19, 67, 41, 113, 51, 171, 97, 73, 241, 51, 323, 177, 129, 417, 59, 83, 163, 523, 281, 641, 243, 771, 409, 289, 123, 171, 561, 393, 227, 451, 737, 211, 579, 89, 649, 363, 801, 323, 107, 443, 129, 139, 137, 459, 627, 731, 201, 619, 209, 233
Offset: 1

Views

Author

Clark Kimberling, Sep 26 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Crossrefs

Cf. A195770, A196001, A196004.

Programs

A196036 Positive integers a for which there is a primitive (-4/3)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 21, 23, 24, 27, 27, 28, 28, 29, 31, 32, 33, 35, 36, 36, 36, 37, 39, 40, 40, 43, 44, 44, 45, 45, 48, 49, 51, 52, 56, 60, 60, 61, 63, 63, 67, 68, 68, 69, 72, 72, 72, 72, 76, 77, 81, 84, 84, 87, 88
Offset: 1

Views

Author

Clark Kimberling, Sep 27 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Examples

			Primitive (-4/3)-Pythagorean triples a,b,c;
c^2=a^2+b^2+k*a*b, where k=-4/3:
3,4,3
4,9,7
5,24,21
7,12,9
8,9,7
9,28,23
11,108,101
13,36,29
16,117,107
17,252,241

Crossrefs

Cf. A195770, A196033, A196037, A196038.

Programs

A196044 Positive integers b for which there is a primitive (4/3)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

36, 21, 16, 12, 132, 52, 36, 288, 27, 153, 72, 504, 184, 45, 120, 780, 405, 280, 155, 56, 252, 171, 777, 532, 336, 287, 688, 189, 432, 140, 540, 76, 176, 297, 435, 792, 91, 671, 429, 308, 185, 585, 819, 416, 187, 232, 476, 207, 247, 329, 608, 340, 680
Offset: 1

Views

Author

Clark Kimberling, Sep 27 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Crossrefs

Cf. A195770, A196040, A196044, A196045.

Programs

A196091 Positive integers a for which there is a primitive (5/3)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

7, 9, 13, 15, 16, 19, 23, 25, 27, 29, 33, 35, 40, 40, 41, 45, 47, 51, 53, 55, 59, 63, 65, 71, 72, 75, 81, 83, 85, 88, 89, 93, 95, 96, 99, 101, 104, 111, 115, 117, 117, 128, 129, 133, 135, 145, 147, 152, 153, 153, 168, 171, 175, 183, 195, 200, 208, 216, 217
Offset: 1

Views

Author

Clark Kimberling, Sep 27 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Examples

			Primitive (5/3)-Pythagorean triples;
c^2=a^2+b^2+k*a*b, where k=5/3:
7,39,45
9,17,25
13,144,155
15,56,69
16,45,59
19,315,331
23,24,45
25,552,573
27,200,223
29,45,71

Crossrefs

Cf. A195770, A196088, A196092, A196093.

Programs

A196117 Positive integers c for which there is a primitive 3-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

11, 31, 61, 19, 101, 29, 151, 41, 211, 281, 79, 71, 361, 89, 451, 59, 109, 551, 131, 661, 179, 781, 181, 911, 209, 239, 319, 149, 271, 341, 209, 379, 121, 499, 419, 461, 551, 139, 719, 599, 359, 649, 701, 191, 241, 979, 449, 811, 869, 929, 991, 251
Offset: 1

Views

Author

Clark Kimberling, Sep 28 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Crossrefs

Cf. A195770, A196112, A196115, A196116, A196117.

Programs

A196123 Positive integers b for which there is a primitive 4-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

8, 5, 28, 12, 60, 33, 104, 40, 160, 85, 60, 228, 308, 35, 161, 112, 400, 144, 504, 39, 63, 261, 620, 220, 748, 385, 264, 888, 95, 143, 533, 364, 420, 195, 705, 544, 175, 612, 323, 760, 840, 45, 279, 399, 56, 77, 407, 575, 84, 675, 80, 559, 899, 136, 165
Offset: 1

Views

Author

Clark Kimberling, Sep 28 2011

Keywords

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Crossrefs

Cf. A195770, A196119, A196122, A196124.

Programs

Previous Showing 61-70 of 216 results. Next

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