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 A054144 #11 Nov 16 2021 11:26:14
%S A054144 0,1,1,2,3,7,3,5,14,36,4,7,21,60,164,5,9,28,84,246,700,6,11,35,108,
%T A054144 328,980,2868,7,13,42,132,410,1260,3824,11424,8,15,49,156,492,1540,
%U A054144 4780,14688,44576,9,17,56,180,574,1820,5736,17952,55720,171216
%N A054144 Triangular array T: put T(n,0)=n for all n >= 0 and all other T(n,k)=0; then put T(n,k)=Sum{T(i,j): 0<=j<=i-n+k, n-k<=i<=n}.
%C A054144 The main diagonal is A181292. The triangle below the main diagonal is A053199 which starts with T(n,0) = n + 1 instead of T(n,0) = n here. - _Georg Fischer_, Nov 16 2021
%e A054144 Rows: {0}, {1,1}, {2,3,7}, {3,5,14,36}, ...
%Y A054144 Cf. A053199, A181292.
%K A054144 nonn,tabl
%O A054144 0,4
%A A054144 _Clark Kimberling_, Mar 18 2000