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 1-6 of 6 results.

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

A295565 Consider numbers k such that A295563(k) <= k (see A295564); sequence lists the values A295563(k).

Original entry on oeis.org

0, 1, 3, 4, 7, 6, 8, 11, 15, 14, 16, 26, 20, 21, 27, 29, 31, 32, 33, 35, 43, 47, 48, 54, 53, 56, 60, 64, 68, 74, 77, 78, 80, 79, 81, 84, 85, 89, 94, 96, 101, 100, 103, 107, 113, 115, 118, 119, 120, 126, 127, 128, 129, 139, 141, 142, 143, 144, 147, 151, 158, 160, 159, 164, 163, 167, 165, 175, 177, 180
Offset: 1

Views

Author

N. J. A. Sloane, Nov 29 2017

Keywords

Comments

Do the ratios A295565(k)/A295564(k) converge and if so what is the limit?

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

A274315 First row of infinite Sudoku-type array A269526.

Original entry on oeis.org

1, 3, 2, 6, 4, 5, 10, 11, 13, 8, 14, 18, 7, 20, 19, 9, 12, 24, 26, 23, 25, 29, 16, 15, 35, 31, 38, 40, 37, 39, 41, 17, 43, 42, 47, 46, 45, 52, 27, 21, 22, 51, 58, 53, 60, 50, 56, 62, 64, 63, 67, 66, 68, 73, 72, 59, 74, 28, 77, 76, 70, 71, 30, 87, 32, 83, 84, 33, 34, 89, 88, 92, 91, 36, 98, 93, 96
Offset: 1

Views

Author

N. J. A. Sloane, Jun 29 2016

Keywords

Comments

Conjectured to be a permutation of the natural numbers.
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.
See A295563 for much more about this sequence. - N. J. A. Sloane, Mar 10 2019

Crossrefs

A308881 Irregular array read by rows: row k (k>=1) contains k^2 numbers, formed by filling in a k X k square by upwards antidiagonals so entries in all rows, columns, diagonals, antidiagonals are distinct, and then reading that square across rows.

Original entry on oeis.org

0, 0, 2, 1, 3, 0, 2, 1, 1, 3, 4, 2, 0, 5, 0, 2, 1, 5, 1, 3, 4, 0, 2, 0, 5, 1, 3, 1, 2, 4, 0, 2, 1, 5, 3, 1, 3, 4, 0, 6, 2, 0, 5, 1, 7, 3, 1, 2, 4, 0, 4, 5, 0, 3, 1, 0, 2, 1, 5, 3, 4, 1, 3, 4, 0, 7, 2, 2, 0, 5, 1, 6, 9, 3, 1, 2, 4, 0, 5, 4, 6, 0, 3, 1, 7, 5, 7, 8, 6, 4, 10
Offset: 1

Views

Author

N. J. A. Sloane, Jun 29 2019

Keywords

Comments

The first row of the k X k square converges to A295563 as k increases.
When filling in the k X k square, always choose the smallest possible number. Each k X k square is uniquely determined.

Examples

			The first eight squares are (here A=10, B=11, C=12):
0
--------
02
13
--------
021
134
205
--------
0215
1340
2051
3124
--------
02153
13406
20517
31240
45031
--------
021534
134072
205169
312405
460317
57864A
--------
0215349
1340725
2051864
3124058
4603172
5786493
6432587
--------
0215349A
13407258
20518643
31240786
4603152B
5786493C
64325879
756893A2
--------
		

Crossrefs

Showing 1-6 of 6 results.