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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A196269 Positive integers a for which there is a primitive (-1/4)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

1, 4, 6, 9, 10, 10, 11, 12, 13, 14, 15, 17, 19, 20, 20, 22, 23, 23, 25, 26, 28, 28, 29, 31, 31, 32, 32, 32, 32, 33, 34, 35, 36, 37, 38, 38, 39, 41, 44, 44, 47, 50, 52, 52, 53, 54, 55, 55, 57, 58, 60, 61, 64, 64, 64, 65, 65, 65, 68, 71, 76, 76, 79, 82
Offset: 1

Views

Author

Clark Kimberling, Sep 30 2011

Keywords

Comments

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

Examples

			Primitive (-1/4)-Pythagorean tripleas a,b,c;
c^2=a^2+b^2+k*a*b, where k=-1/4:
1,4,4
4,5,6
6,10,11
9,320,319
10,22,23
10,198,197
11,160,159
12,132,142
13,32,33
14,130,129

Crossrefs

Cf. A195770, A196270, A196271, A196268.

Programs

A196358 Positive integers a for which there is a primitive (1/8)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

4, 6, 8, 8, 10, 11, 12, 12, 13, 13, 14, 14, 15, 17, 21, 27, 28, 29, 31, 35, 38, 39, 40, 43, 44, 45, 46, 49, 52, 55, 56, 57, 59, 61, 63, 64, 64, 64, 64, 66, 72, 74, 76, 77, 82, 88, 88, 91, 91, 92, 97, 99, 100, 104, 106, 113, 115, 120, 124, 128, 128, 128, 128, 130
Offset: 1

Views

Author

Clark Kimberling, Oct 01 2011

Keywords

Comments

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

Examples

			Primitive (1/8)-Pythagorean triples a,b,c;
c^2=a^2+b^2+(1/8)*a*b:
4,10,11
6,28,29
8,11,14
8,63,64
10,132,133
11,192,193
12,14,19
12,286,287
13,24,28
13,448,449

Crossrefs

Cf. A195770, A196355, A196359, A196360.

Programs

A196365 Positive integers a for which there is a primitive (-5/2)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

2, 3, 5, 7, 7, 10, 10, 11, 11, 13, 14, 15, 15, 16, 16, 16, 17, 18, 19, 19, 22, 23, 23, 25, 26, 26, 27, 29, 31, 32, 32, 32, 34, 34, 35, 35, 35, 37, 38, 39, 41, 42, 43, 46, 47, 48, 48, 50, 51, 55, 55, 55, 58, 59, 62, 63, 64, 64, 64, 65, 66, 67, 70, 71, 74, 75, 77, 79
Offset: 1

Views

Author

Clark Kimberling, Oct 01 2011

Keywords

Comments

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

Examples

			Primitive (-5/2)-Pythagorean triples a,b,c;
c^2=a^2+b^2-(5/2)*a*b:
2,5,2
3,14,10
5,16,9
7,16,5
7,64,55
10,21,4
10,69,56
11,30,14
11,150,136
13,80,63

Crossrefs

Cf. A195770, A196362, A196366, A196367.

Programs

A196366 Positive integers b for which there is a primitive (-5/2)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

5, 14, 16, 16, 64, 21, 69, 30, 150, 80, 55, 32, 272, 33, 35, 57, 130, 205, 70, 430, 119, 96, 624, 266, 77, 413, 854, 352, 160, 65, 91, 185, 117, 693, 78, 102, 198, 560, 319, 80, 682, 85, 286, 455, 336, 145, 385, 221, 110, 112, 208, 448, 285, 510, 799, 176
Offset: 1

Views

Author

Clark Kimberling, Oct 01 2011

Keywords

Comments

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

Crossrefs

Cf. A195770, A196362, A196365, A196367, A196364.

Programs

A196372 Positive integers a for which there is a primitive (-3)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

1, 3, 3, 5, 7, 7, 8, 8, 9, 9, 11, 11, 13, 13, 15, 15, 16, 16, 17, 17, 19, 19, 21, 21, 21, 21, 23, 23, 24, 24, 24, 24, 25, 27, 29, 31, 32, 32, 33, 33, 33, 35, 37, 39, 39, 39, 40, 40, 41, 43, 45, 47, 48, 48, 48, 48, 49, 51, 51, 51, 53, 55, 56, 56, 56, 57, 57, 57
Offset: 1

Views

Author

Clark Kimberling, Oct 01 2011

Keywords

Comments

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

Examples

			Primitive (-3)-Pythagorean triples a,b,c;
c^2=a^2+b^2-3*a*b:
1,3,1
3,8,1
3,16,11
5,39,31
7,24,11
7,72,61
8,21,1
8,33,19
9,35,19
9,115,101

Crossrefs

Cf. A195770, A196369, A196373, A196374.

Programs

A196379 Positive integers a for which there is a primitive (-4)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

1, 3, 4, 4, 5, 5, 7, 7, 8, 8, 9, 11, 11, 12, 12, 13, 13, 15, 15, 16, 16, 17, 17, 19, 19, 20, 20, 20, 20, 21, 21, 23, 23, 24, 24, 25, 28, 28, 28, 28, 29, 31, 32, 32, 33, 35, 35, 35, 36, 37, 39, 40, 40, 40, 44, 44, 44, 45, 48, 51, 52, 52, 52, 55, 55, 56, 56
Offset: 1

Views

Author

Clark Kimberling, Oct 01 2011

Keywords

Comments

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

Examples

			Primitive (-4)-Pythagorean triples a,b,c;
c^2=a^2+b^2+k*a*b, where k=-4:
1,4,1
3,20,13
4,15,1
4,21,11
5,24,11
5,48,37
7,40,23
7,88,73
8,35,13
8,65,47

Crossrefs

Cf. A195770, A196376, A196380, A196381.

Programs

A196380 Positive integers b for which there is a primitive (-4)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

4, 20, 15, 21, 24, 48, 40, 88, 35, 65, 140, 84, 204, 55, 133, 112, 280, 56, 368, 99, 225, 180, 468, 220, 580, 77, 119, 143, 341, 80, 704, 312, 840, 91, 481, 364, 117, 207, 255, 645, 480, 544, 323, 833, 140, 132, 156, 684, 319, 760, 176, 153, 171, 483
Offset: 1

Views

Author

Clark Kimberling, Oct 01 2011

Keywords

Comments

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

Crossrefs

Cf. A195770, A196376, A196379, A196381, A196377.

Programs

A196386 Positive integers a for which there is a primitive (-5)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

1, 1, 3, 3, 5, 5, 5, 5, 7, 7, 8, 8, 8, 8, 9, 9, 11, 11, 11, 11, 13, 13, 13, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 19, 19, 19, 21, 23, 23, 24, 24, 24, 24, 25, 25, 27, 29, 29, 31, 31, 32, 32, 32, 33, 33, 35, 35, 37, 39, 39, 40, 40, 40, 40, 40, 40, 40, 41
Offset: 1

Views

Author

Clark Kimberling, Oct 01 2011

Keywords

Comments

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

Examples

			Primitive (-5)-Pythagorean triples a,b,c;
c^2=a^2+b^2-5*a*b:
1,5,1
1,8,5
3,16,5
3,55,47
5,24,1
5,33,17
5,57,43
5,144,131
7,104,85
7,275,257

Crossrefs

Cf. A195770, A196383, A196387, A196388.

Programs

A196387 Positive integers b for which there is a primitive (-5)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

5, 8, 16, 55, 24, 33, 57, 144, 104, 275, 39, 45, 51, 105, 85, 448, 63, 120, 240, 663, 80, 161, 329, 88, 91, 208, 77, 95, 155, 377, 120, 261, 549, 143, 320, 680, 145, 195, 456, 115, 175, 253, 817, 224, 533, 616, 288, 705, 323, 800, 165, 279, 531, 160, 301
Offset: 1

Views

Author

Clark Kimberling, Oct 01 2011

Keywords

Comments

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

Crossrefs

Cf. A195770, A196383, A196386, A196388, A196384.

Programs

A196393 Positive integers a for which there is a primitive (-6)-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

1, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 21, 22, 23, 24, 25, 26, 27, 28, 30, 30, 30, 33, 33, 34, 35, 35, 36, 38, 39, 39, 40, 42, 42, 42, 44, 45, 45
Offset: 1

Views

Author

Clark Kimberling, Oct 01 2011

Keywords

Comments

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

Examples

			Primitive (-6)-Pythagorean triples a,b,c;
c^2=a^2+b^2-6*a*b:
1,6,1
2,15,7
3,20,7
3,28,17
4,45,31
5,42,23
5,66,49
6,35,1
6,91,71
7,72,47

Crossrefs

Cf. A195770, A196390, A196394, A196395.

Programs

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