OFFSET
1,2
COMMENTS
T(2,2) = T(3,3) = 0 indicate that there are no solutions to the n-queens problem when n is 2 or 3.
LINKS
Mia Muessig, Table of n, a(n) for n = 1..171 (rows 1..18)
John King, Examples for Queens 1,2,3,4,5 up to 11x11.
John King, Examples for Queens 6,7,8,9 up to 15x15.
Mia Muessig, Julia code to compute the sequence
FORMULA
T(n,k) = n^2 for k >= A075324(n), n >= 4.
EXAMPLE
Triangle begins:
n\k| 1 2 3 4 5 6 7 8 9 10 11 12
----+-----------------------------------------------------------
1 | 1;
2 | 4, 0;
3 | 9, 9, 0;
4 | 12, 15, 16, 16;
5 | 17, 23, 25, 25, 25;
6 | 20, 30, 35, 36, 36, 36;
7 | 25, 37, 45, 49, 49, 49, 49;
8 | 28, 44, 55, 62, 64, 64, 64, 64;
9 | 33, 52, 66, 76, 81, 81, 81, 81, 81;
10 | 36, 60, 77, 92, 100, 100, 100, 100, 100, 100;
11 | 41, 68, 88, 104, 121, 121, 121, 121, 121, 121, 121;
12 | 44, 76, 101, 120, 134, 142, 144, 144, 144, 144, 144, 144;
13 | 49, 84, 112, 136, 153, 165, 169, 169, 169, 169, 169, ...;
14 | 52, 92, 125, 152, 172, 186, 194, 196, 196, 196, 196, ...;
15 | 57, 100, 136, 168, 193, 209, 221, 224, 225, 225, 225, ...;
16 | 60, 108, 149, 184, 212, 231, 242, 251, 256, 256, 256, ...;
17 | 65, 116, 160, 200, 233, 255, 269, 281, 289, 289, 289, ...;
18 | 68, 124, 173, 216, 252, 277, 294, 310, 322, 324, 324, ...;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
John King, Oct 03 2024
EXTENSIONS
Initial terms by John King and Mia Müßig added by Mia Muessig, Oct 05 2024
STATUS
approved