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 1-3 of 3 results.

A086786 Triangle read by rows: n-th row is the smallest set of n numbers in arithmetic progression with the same prime signature.

Original entry on oeis.org

1, 2, 3, 3, 5, 7, 5, 11, 17, 23, 5, 11, 17, 23, 29, 7, 37, 67, 97, 127, 157, 481, 485, 489, 493, 497, 501, 505, 635, 707, 779, 851, 923, 995, 1067, 1139, 635, 707, 779, 851, 923, 995, 1067, 1139, 1211, 199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879, 2089, 3841
Offset: 1

Views

Author

Amarnath Murthy, Sep 02 2003

Keywords

Comments

In this sequence "smallest" means that the last term of the arithmetic progression is minimized. A113460 minimizes the first term.

Examples

			Triangle begins:
1
2,3
3,5,7
5,11,17,23
5,11,17,23,29
7,37,67,97,127,157
481,485,489,493,497,501,505
635,707,779,851,923,995,1067,1139
635,707,779,851,923,995,1067,1139,1211
199,409,619,829,1039,1249,1459,1669,1879,2089
...

Links

Crossrefs

A087310 contains the corresponding common differences, A087308 the initial terms, A087309 the final terms.
Cf. A087308, A087309, A087310, A114660, A114663, A114670.
Row 10 is the same for A113470, A133276, A133277 and listed as A033168.

Extensions

Edited and extended by David Wasserman, Jan 08 2006
Further edits by N. J. A. Sloane, Oct 17 2007

A087308 Initial terms associated with the arithmetic progressions in A086786.

Original entry on oeis.org

1, 2, 3, 5, 5, 7, 481, 635, 635, 199, 3841, 3841, 4979, 2995, 13561, 22903, 1691, 5951, 72697, 72697, 72697, 172151, 172151, 1782371, 1782371
Offset: 1

Views

Author

Amarnath Murthy, Sep 02 2003

Keywords

Links

Crossrefs

Cf. A086786, A087306, A087307, A087309, A087310.
Cf. A114664, A114671.

Extensions

More terms from David Wasserman, Jan 08 2006

A087309 Least number that ends an arithmetic progression of n numbers with the same prime signature.

Original entry on oeis.org

1, 3, 7, 23, 29, 157, 505, 1139, 1211, 2089, 5161, 5293, 6347, 10717, 14233, 28213, 31451, 72965, 119029, 121603, 124177, 611261, 632171, 2003171, 2012771
Offset: 1

Views

Author

Amarnath Murthy, Sep 02 2003

Keywords

Comments

Final terms of the arithmetic progressions described in A086786.
Main diagonal of A086786.

Links

Crossrefs

Cf. A086786, A087308, A087310, A114659, A114662, A114669.

Formula

a(n)=A087308(n)+(n-1)*A087310(n). - R. J. Mathar, Oct 19 2007

Extensions

Edited and extended by David Wasserman, Jan 08 2006
Further edited by N. J. A. Sloane, Jun 30 2008 at the suggestion of R. J. Mathar.
Showing 1-3 of 3 results.

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

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