cp's OEIS Frontend

A279403 Irregular triangle read by rows: T(n,k) (n>=1, 0 <= k <= n^2) = minimal number of squares not attacked by k queens on an n X n toroidal board, with trailing zeros truncated.

%I A279403 #10 Jun 08 2017 16:33:48
%S A279403 1,4,9,16,4,25,8,2,36,16,4,49,24,11,4,64,36,16,6,81,48,27,12,3,100,64,
%T A279403 36,19,4,121,80,51,29,13,144,100,64,39,16,6,169,120,83,53,29,8,2,196,
%U A279403 144,100,67,36,18,8,225,168,223,82,41,256,196,144,103,64,40
%N A279403 Irregular triangle read by rows: T(n,k) (n>=1, 0 <= k <= n^2) = minimal number of squares not attacked by k queens on an n X n toroidal board, with trailing zeros truncated.
%C A279403 Row lengths are A279402.
%F A279403 T(n,0) = A000290(n).
%F A279403 T(n,1) = A000290(n)-A047461(n) = A137932(n-1).
%F A279403 T(n,2) = A248825(n-4) for n >= 6.
%e A279403 The triangle begins:
%e A279403 1 (0)
%e A279403 4 (0, 0, 0, 0)
%e A279403 9 (0, 0, ...)
%e A279403 16 4 (0, 0, ...)
%e A279403 25 8 2
%e A279403 36 16 4
%e A279403 49 24 11 4
%e A279403 64 36 16 6
%e A279403 81 48 27 12 3
%e A279403 100 64 36 19 4
%e A279403 121 80 51 29 13
%e A279403 144 100 64 39 16 6
%e A279403 169 120 83 53 29 8 2
%e A279403 196 144 100 67 36 18 8
%e A279403 225 168 123 82 41
%e A279403 256 196 144 103 64 40 ...
%Y A279403 Cf. A279402, A279406.
%K A279403 nonn,tabf
%O A279403 1,2
%A A279403 _Andrey Zabolotskiy_, Dec 11 2016