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 1-4 of 4 results.

A295563 First row of array in A274528.

Original entry on oeis.org

0, 2, 1, 5, 3, 4, 9, 10, 12, 7, 13, 17, 6, 19, 18, 8, 11, 23, 25, 22, 24, 28, 15, 14, 34, 30, 37, 39, 36, 38, 40, 16, 42, 41, 46, 45, 44, 51, 26, 20, 21, 50, 57, 52, 59, 49, 55, 61, 63, 62, 66, 65, 67, 72, 71, 58, 73, 27, 76, 75, 69, 70, 29, 86, 31, 82, 83, 32, 33, 88, 87, 91, 90, 35, 97, 92, 95
Offset: 0

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Author

N. J. A. Sloane, Nov 29 2017

Keywords

Comments

Note this is not a list, this gives the Grundy-value at (0,n) of the Lonely Queens array A274528 regarded as a game.
It would be nice to have a formula or recurrence. Note that the first row of the analogous array corresponding to the Wythoff game, A004482, does have a simple formula.
The points seem to fall on or close to two lines, of slopes about 0.48 and 1.29 (what are these slopes?). See A295564, A295565, A295566, A295567 for the X- and Y-coordinates of the points on the two lines.

Crossrefs

Programs

  • PARI
    See Links section.

A295564 Numbers k such that A295563(k) <= k.

Original entry on oeis.org

0, 2, 4, 5, 9, 12, 15, 16, 22, 23, 31, 38, 39, 40, 57, 62, 64, 67, 68, 73, 90, 99, 101, 107, 110, 117, 126, 133, 143, 155, 160, 162, 165, 166, 171, 175, 177, 182, 194, 198, 207, 208, 213, 224, 236, 241, 245, 246, 248, 260, 261, 265, 266, 285, 291, 293, 297, 298, 304, 311, 328, 329, 332, 337, 338, 341
Offset: 1

Views

Author

N. J. A. Sloane, Nov 29 2017

Keywords

Crossrefs

A295566 Numbers k such that A295563(k) > k.

Original entry on oeis.org

1, 3, 6, 7, 8, 10, 11, 13, 14, 17, 18, 19, 20, 21, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 63, 65, 66, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98
Offset: 1

Views

Author

N. J. A. Sloane, Nov 29 2017

Keywords

Crossrefs

A295567 Consider numbers k such that A295563(k) > k (see A295566); sequence lists the values A295563(k).

Original entry on oeis.org

2, 5, 9, 10, 12, 13, 17, 19, 18, 23, 25, 22, 24, 28, 34, 30, 37, 39, 36, 38, 40, 42, 41, 46, 45, 44, 51, 50, 57, 52, 59, 49, 55, 61, 63, 62, 66, 65, 67, 72, 71, 58, 73, 76, 75, 69, 70, 86, 82, 83, 88, 87, 91, 90, 97, 92, 95, 99, 105, 104, 93, 102, 108, 98, 106, 112, 110, 111, 109, 116, 121, 117, 114
Offset: 1

Views

Author

N. J. A. Sloane, Nov 29 2017

Keywords

Comments

Do the ratios A295567(k)/A295566(k) converge and if so what is the limit?

Crossrefs

Showing 1-4 of 4 results.