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.

Showing 1-7 of 7 results.

A106683 Triangle read by rows: row n gives marks on lexicographically earliest n-mark optimal Golomb ruler.

Original entry on oeis.org

0, 0, 1, 0, 1, 3, 0, 1, 4, 6, 0, 1, 4, 9, 11, 0, 1, 4, 10, 12, 17, 0, 1, 4, 10, 18, 23, 25, 0, 1, 4, 9, 15, 22, 32, 34, 0, 1, 5, 12, 25, 27, 35, 41, 44, 0, 1, 6, 10, 23, 26, 34, 41, 53, 55, 0, 1, 4, 13, 28, 33, 47, 54, 64, 70, 72, 0, 2, 6, 24, 29, 40, 43, 55, 68, 75, 76, 85, 0, 2, 5, 25, 37, 43, 59, 70, 85, 89, 98, 99, 106
Offset: 1

Views

Author

N. J. A. Sloane, Jun 04 2006

Keywords

Comments

Golomb ruler: Finite set with property that no difference between any two numbers is repeated and largest number is minimized.
See A003022 for further information and additional references.

Examples

			Triangle begins:
  0;
  0, 1;
  0, 1, 3;
  0, 1, 4,  6;
  0, 1, 4,  9, 11;
  0, 1, 4, 10, 12, 17;             A079283
  0, 1, 4, 10, 18, 23, 25;         A079287
  0, 1, 4,  9, 15, 22, 32, 34;     A079423
  0, 1, 5, 12, 25, 27, 35, 41, 44; A079425
  ...

Links

Crossrefs

Cf. A039953.
Cf. A079283, A079287, A079423, A079426, A079430, A079433, A079434.

Extensions

Corrected by Andrey Zabolotskiy, Aug 22 2017

A039953 Triangle of "canonical" optimal Golomb rulers.

Original entry on oeis.org

1, 1, 2, 1, 3, 2, 1, 3, 5, 2, 1, 3, 6, 2, 5, 1, 3, 6, 8, 5, 2, 1, 3, 5, 6, 7, 10, 2, 1, 4, 7, 13, 2, 8, 6, 3, 1, 5, 4, 13, 3, 8, 7, 12, 2, 1, 3, 9, 15, 5, 14, 7, 10, 6, 2, 2, 4, 18, 5, 11, 3, 12, 13, 7, 1, 9, 2, 3, 20, 12, 6, 16, 11, 15, 4, 9, 1, 7
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

n-th row gives first differences of the (n+1)-th row of A106683. - Andrey Zabolotskiy, Aug 22 2017

Examples

			Triangle begins:
  1;
  1, 2;
  1, 3, 2;
  1, 3, 5, 2;
  1, 3, 6, 2, 5;
  1, 3, 6, 8, 5, 2;
  ...

References

  • CRC Handbook of Combinatorial Designs, 1996, p. 315.
  • A. Kotzig and P. J. Laufer, Sum triangles of natural numbers having minimum top, Ars. Combin. 21 (1986), 5-13.

Links

Crossrefs

Cf. A003022, A036501.
These all start at 1. For rulers starting at 0, see A079283, A079287, A079423, A079425, A079426, A079430, A079433, A079434, A079435, A079454 and A079467, A079604, A079605, A079606, A079607, A079608, A079625, A079634.

Extensions

Corrected by Philip Newton, Feb 06 2002
Corrected by Andrey Zabolotskiy, Aug 22 2017

A106673 Marks on lexicographically third 7-mark optimal Golomb ruler.

Original entry on oeis.org

0, 1, 11, 16, 19, 23, 25
Offset: 0

Views

Author

Garet Sheppard (gar3ts(AT)gmail.com), May 13 2005

Keywords

Comments

Golomb ruler: Finite set with property that no difference between any two numbers is repeated and largest number is minimized.

Links

Crossrefs

Cf. A079287.

A031870 Lexically first 7-mark Golomb ruler.

Original entry on oeis.org

1, 2, 5, 11, 19, 24, 26
Offset: 1

Views

Author

Daniel Smith (dsmith(AT)globalnet.co.uk)

Keywords

Comments

Golomb ruler: Finite set with property that no difference between any two numbers is repeated and largest number is minimized.

Links

Crossrefs

Equals A079287 + 1.

A106672 Marks on lexicographically fourth 7-mark optimal Golomb ruler.

Original entry on oeis.org

0, 2, 3, 10, 16, 21, 25
Offset: 0

Views

Author

Garet Sheppard (gar3ts(AT)gmail.com), May 13 2005

Keywords

Comments

Golomb ruler: Finite set with property that no difference between any two numbers is repeated and largest number is minimized.

Links

Crossrefs

Cf. A079287.

Extensions

First, 'lexicographically' seems to be the more correct expression. Second, currently there are two entries claiming to be the lexi(co)graphically third 7-mark optimal Golomb ruler - A106673 and this one here of which I think it is the fourth. - Harald Kucharek, Apr 21 2013

A106674 Marks on lexicographically second 7-mark optimal Golomb ruler.

Original entry on oeis.org

0, 1, 7, 11, 20, 23, 25
Offset: 0

Views

Author

Garet Sheppard (gar3ts(AT)gmail.com), May 13 2005

Keywords

Comments

Golomb ruler: Finite set with property that no difference between any two numbers is repeated and largest number is minimized.

Links

Crossrefs

Cf. A079287.

Extensions

Changed spelling in name - Harald Kucharek, Apr 21 2013

A106675 Marks on lexicographically fifth 7-mark optimal Golomb ruler.

Original entry on oeis.org

0, 2, 7, 13, 21, 22, 25
Offset: 0

Views

Author

Garet Sheppard (gar3ts(AT)gmail.com), May 13 2005

Keywords

Comments

Optimal Golomb ruler: Finite set with property that no difference between any two numbers is repeated and largest number is minimized.

Links

Crossrefs

Cf. A079287.
Showing 1-7 of 7 results.

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

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