cp's OEIS Frontend

A354130 Triangle read by rows: T(k,n) (k >= 0, n = 0, ..., k) = number of tilings of a k X n rectangle using 2 X 2, and 1 X 1 tiles, right trominoes and dominoes.

%I A354130 #9 May 18 2022 13:13:25
%S A354130 1,1,1,1,2,12,1,3,48,405,1,5,216,4185,103300,1,8,936,40320,2352830,
%T A354130 124098498,1,13,4104,397755,55004286,6763987198,863829618636,1,21,
%U A354130 17928,3892293,1274945897,364713815832,108969107997657,32100965172272499
%N A354130 Triangle read by rows: T(k,n) (k >= 0, n = 0, ..., k) = number of tilings of a k X n rectangle using 2 X 2, and 1 X 1 tiles, right trominoes and dominoes.
%C A354130 Tiling algorithm, see A351322.
%C A354130 Reading the sequence {T(k,n)} for n>k, use T(n,k) instead of T(k,n).
%C A354130 T(1,n) = A000045(n+1), Fibonacci numbers.
%C A354130 T(2,n) = A354131(n), T(3,n) = A354132(n).
%e A354130 Triangle begins
%e A354130 k\n_0__1____2______3________4__________5____________6
%e A354130 0:  1
%e A354130 1:  1  1
%e A354130 2:  1  2   12
%e A354130 3:  1  3   48    405
%e A354130 4:  1  5  216   4185   103300
%e A354130 5:  1  8  936  40320  2352830  124098498
%e A354130 6:  1 13 4104 397755 55004286 6763987198 863829618636
%o A354130 (Maxima), see A352589.
%Y A354130 Cf. A000045, A351322, A354131, A354132.
%K A354130 nonn,tabl
%O A354130 0,5
%A A354130 _Gerhard Kirchner_, May 18 2022