cp's OEIS Frontend

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.

A353877 Triangle read by rows: T(n,k) = number of tilings of a n X k rectangle using right trominoes, dominoes and 1 X 1 tiles, n >= 0, k = 0..n.

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%I A353877 #29 Apr 05 2025 23:18:38
%S A353877 1,1,1,1,2,11,1,3,44,369,1,5,189,3633,83374,1,8,798,34002,1817897,
%T A353877 90916452,1,13,3383,323293,40220893,4635661331,546063639624,1,21,
%U A353877 14328,3058623,886130549,235025597912,63919977468729,17259079054003609,1,34,60697,28982628,19546906987,11935601703140,7495901454256347,4669873251135795702,2916019543694306398589
%N A353877 Triangle read by rows: T(n,k) = number of tilings of a n X k rectangle using right trominoes, dominoes and 1 X 1 tiles, n >= 0, k = 0..n.
%C A353877 Tiling algorithm, see A351322.
%C A353877 Reading the sequence {T(n,k)} for k>n, use T(k,n) instead of T(n,k).
%H A353877 Liang Kai, <a href="/A353877/b353877.txt">Rows n=0..17, flattened</a>
%e A353877 Triangle begins
%e A353877 n\k_0__1____2______3________4__________5____________6
%e A353877 0:  1
%e A353877 1:  1  1
%e A353877 2:  1  2   11
%e A353877 3:  1  3   44    369
%e A353877 4:  1  5  189   3633    83374
%e A353877 5:  1  8  798  34002  1817897   90916452
%e A353877 6:  1 13 3383 323293 40220893 4635661331 546063639624
%o A353877 (Maxima) See A352589.
%Y A353877 Row/columns 0..4 are A000012, A000045(n+1), A110679, A353878, A353879.
%Y A353877 Main diagonal is A353934.
%Y A353877 Cf. A219987, A351322, A352589.
%K A353877 nonn,tabl
%O A353877 0,5
%A A353877 _Gerhard Kirchner_, May 09 2022