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.
%I A354010 #14 May 18 2022 17:40:39 %S A354010 1,1,0,1,1,3,1,0,7,8,1,1,17,81,702,1,0,41,184,4623,41952,1,1,99,1051, %T A354010 35044,654673,16600824,1,0,239,3176,248045,7407376,358635313, %U A354010 13298557992,1,1,577,14609,1819731,100694199,8448412164,569631442289,43157780553934 %N A354010 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 tiles, right trominoes and dominoes. %C A354010 For tiling algorithm, see A351322. %C A354010 Reading the sequence {T(k,n)}, use T(n,k) instead of T(k,n) for n>k. %C A354010 T(1,n) = A000035(n+1) = (n+1) mod 2, %C A354010 T(2,n) = A001333(n), T(3,n) = A354011(n), T(4,n) = A354012(n). %e A354010 Triangle begins %e A354010 k\n 0 1 2 3 4 5 6 %e A354010 ----------------------------------------- %e A354010 0 1 %e A354010 1 1 0 %e A354010 2 1 1 3 %e A354010 3 1 0 7 8 %e A354010 4 1 1 17 81 702 %e A354010 5 1 0 41 184 4623 41952 %e A354010 6 1 1 99 1051 35044 654673 16600824 %o A354010 (Maxima) See A352589. %Y A354010 Cf. A000035, A001333, A351322, A352589, A354011, A354012. %Y A354010 T(n,n) gives A354119. %K A354010 nonn,tabl %O A354010 0,6 %A A354010 _Gerhard Kirchner_, May 14 2022