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.

Previous Showing 11-15 of 15 results.

A198464 Consider triples a<=b

Original entry on oeis.org

4, 8, 13, 19, 9, 13, 26, 17, 34, 43, 14, 18, 53, 32, 64, 38, 76, 19, 23, 30, 89, 103, 59, 118, 24, 28, 42, 67, 134, 151, 35, 43, 169, 29, 33, 63, 94, 188, 104, 208, 47, 58, 229, 31, 34, 38, 84, 251, 56, 137, 274, 149, 298, 39, 43, 108, 323, 52, 71, 88, 349
Offset: 1

Views

Author

Charlie Marion, Nov 26 2011

Keywords

Comments

See A198453.

Examples

			2*5 + 3*6 = 4*7
3*6 + 7*10 = 8*11
4*7 + 12*15 = 13*16
5*8 + 18*21 = 19*22
6*9 + 6*9 = 9*12
6*9 + 11*14 = 13*16

References

  • A. H. Beiler, Recreations in the Theory of Numbers, Dover, New York, 1964, pp. 104-134.

Links

Crossrefs

Cf. A103606, A198453-A198463, A198465-A198469.

A198465 Consider triples a<=b

Original entry on oeis.org

3, 3, 4, 4, 6, 7, 5, 10, 11, 6, 7, 9, 6, 15, 16, 7, 10, 12, 7, 21, 22, 8, 28, 29, 9, 11, 14, 9, 36, 37, 10, 14, 17, 10, 22, 24, 10, 45, 46, 11, 27, 29, 11, 55, 56, 12, 15, 19, 12, 21, 24, 12, 66, 67, 13, 18, 22, 13, 25, 28, 13, 78, 79, 14, 45, 47, 14, 91, 92
Offset: 1

Views

Author

Charlie Marion, Dec 19 2011

Keywords

Comments

The definition can be generalized to define Pythagorean k-triples a<=bA198453 for more about Pythagorean k-triples.

Examples

			3*2 + 3*2 = 4*3
4*3 + 6*5 = 7*6
5*4 + 10*9 = 11*10
6*5 + 7*6 = 9*8
6*5 + 15*14 = 16*15

References

  • A. H. Beiler, Recreations in the Theory of Numbers, Dover, New York, 1964, pp. 104-134.

Links

Crossrefs

Cf. A103606, A198453-A198469.

A198468 Consider triples a<=b

Original entry on oeis.org

4, 7, 11, 9, 16, 12, 22, 29, 14, 37, 17, 24, 46, 29, 56, 19, 24, 67, 22, 28, 79, 47, 92, 21, 24, 37, 54, 106, 27, 42, 121, 137, 29, 53, 78, 154, 32, 59, 87, 172, 41, 50, 191, 34, 45, 55, 72, 211, 37, 42, 79, 117, 232, 128, 254, 39, 94, 277, 42, 63, 102, 301
Offset: 1

Views

Author

Charlie Marion, Dec 19 2011

Keywords

Comments

The definition can be generalized to define Pythagorean k-triples a<=bA198453 for more about Pythagorean k-triples.

Examples

			3*2 + 3*2 = 4*3
4*3 + 6*5 = 7*6
5*4 + 10*9 = 11*10
6*5 + 7*6 = 9*8
6*5 + 15*14 = 16*15

References

  • A. H. Beiler, Recreations in the Theory of Numbers, Dover, New York, 1964, pp. 104-134.

Links

Crossrefs

Cf. A103606, A198453-A198469.

A198466 Consider triples a<=b

Original entry on oeis.org

3, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 28
Offset: 1

Views

Author

Charlie Marion, Dec 19 2011

Keywords

Comments

The definition can be generalized to define Pythagorean k-triples a<=bA198453 for more about Pythagorean k-triples.

Examples

			3*2 + 3*2 = 4*3
4*3 + 6*5 = 7*6
5*4 + 10*9 = 11*10
6*5 + 7*6 = 9*8
6*5 + 15*14 = 16*15

References

  • A. H. Beiler, Recreations in the Theory of Numbers, Dover, New York, 1964, pp. 104-134.

Links

Crossrefs

Cf. A103606, A198453-A198469.

A198467 Consider triples a<=b

Original entry on oeis.org

3, 6, 10, 7, 15, 10, 21, 28, 11, 36, 14, 22, 45, 27, 55, 15, 21, 66, 18, 25, 78, 45, 91, 15, 19, 34, 52, 105, 22, 39, 120, 136, 23, 50, 76, 153, 26, 56, 85, 171, 36, 46, 190, 27, 40, 51, 69, 210, 30, 36, 76, 115, 231, 126, 253, 31, 91, 276, 34, 58, 99, 300
Offset: 1

Views

Author

Charlie Marion, Dec 19 2011

Keywords

Comments

The definition can be generalized to define Pythagorean k-triples a<=bA198453 for more about Pythagorean k-triples.

Examples

			3*2 + 3*2 = 4*3
4*3 + 6*5 = 7*6
5*4 + 10*9 = 11*10
6*5 + 7*6 = 9*8
6*5 + 15*14 = 16*15

References

  • A. H. Beiler, Recreations in the Theory of Numbers, Dover, New York, 1964, pp. 104-134.

Links

Crossrefs

Cf. A103606, A198453-A198469.
Previous Showing 11-15 of 15 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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