cp's OEIS Frontend

A348455 Irregular triangle read by rows: T(n,k) (n >= 1, 1 <= k <= number of divisors of n^2) is the number of ways to tile an n X n chessboard with rook-connected polyominoes of area d_k, where d_k is the k-th divisor of n^2.

%I A348455 #22 May 05 2022 11:04:54
%S A348455 1,1,2,1,1,10,1,1,70,117,36,1,1,4006,1,1,6728,80092,178939,451206,
%T A348455 442791,264500,80518,1,1,158753814,1
%N A348455 Irregular triangle read by rows: T(n,k) (n >= 1, 1 <= k <= number of divisors of n^2) is the number of ways to tile an n X n chessboard with rook-connected polyominoes of area d_k, where d_k is the k-th divisor of n^2.
%C A348455 This is an essentially identical triangle to A348453, except that the data in each row has effectively been reversed. Rather than copying everything here, please refer to A348453 for further information.
%e A348455 Triangle begins:
%e A348455 1,
%e A348455 1, 2, 1,
%e A348455 1, 10, 1,
%e A348455 1, 70, 117, 36, 1,
%e A348455 1, 4006, 1,
%e A348455 1, 6728, 80092, 178939, 451206, 442791, 264500, 80518, 1,
%e A348455 1, 158753814, 1,
%e A348455 1, ?, ?, 187497290034, ?, 7157114189, 1,
%e A348455 ...
%Y A348455 Cf. A348452, A348453, A348454, A348456.
%Y A348455 Cf. A048691 (row lengths).
%K A348455 nonn,tabf,more
%O A348455 1,3
%A A348455 _N. J. A. Sloane_, Oct 27 2021