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 A291261 #10 Aug 23 2017 09:50:59
%S A291261 1,1,1,1,1,2,1,1,4,5,1,1,10,31,14,1,1,28,325,364,42,1,1,82,4159,22150,
%T A291261 5746,132,1,1,244,57349,1790452,2586250,113944,429,1,1,730,818911,
%U A291261 162045118,1691509906,461242900,2719291,1430,1,1,2188,11923525,15520964284,1289803048426,2978600051368,116651486125,75843724,4862
%N A291261 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of continued fraction 1/(1 - x/(1 - 3^k*x/(1 - 5^k*x/(1 - 7^k*x/(1 - 9^k*x/(1 - ...)))))).
%F A291261 G.f. of column k: 1/(1 - x/(1 - 3^k*x/(1 - 5^k*x/(1 - 7^k*x/(1 - 9^k*x/(1 - ...)))))), a continued fraction.
%e A291261 Square array begins:
%e A291261 1, 1, 1, 1, 1, 1, ...
%e A291261 1, 1, 1, 1, 1, 1, ...
%e A291261 2, 4, 10, 28, 82, 244, ...
%e A291261 5, 31, 325, 4159, 57349, 818911, ...
%e A291261 14, 364, 22150, 1790452, 162045118, 15520964284, ...
%e A291261 42, 5746, 2586250, 1691509906, 1289803048426, 1063421637466546, ...
%t A291261 Table[Function[k, SeriesCoefficient[1/(1 + ContinuedFractionK[-(2 i - 1)^k x, 1, {i, 1, n}]), {x, 0, n}]][j - n], {j, 0, 9}, {n, 0, j}] // Flatten
%Y A291261 Columns k=0..2 give A000108, A128709, A127823.
%Y A291261 Main diagonal gives A291332.
%Y A291261 Cf. A034472 (row 2), A290569, A291260.
%K A291261 nonn,tabl
%O A291261 0,6
%A A291261 _Ilya Gutkovskiy_, Aug 21 2017