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 A357079 #10 Sep 15 2022 14:44:27 %S A357079 1,0,1,0,1,1,0,3,2,1,0,9,12,2,1,0,49,37,31,2,1,0,329,149,176,63,2,1,0, %T A357079 2561,794,853,702,127,2,1,0,22369,5599,3836,5709,2549,255,2,1,0, %U A357079 216225,47275,18422,37609,33949,8886,511,2,1,2291457,451176,107535,218506,344670,184653,29777,1023,2,1 %N A357079 Triangle read by rows. T(n, k) = A356265(n, k) + A357078(n, k) for 0 <= k <= n. %C A357079 The triangle is the termwise sum of a refinement of the number of irreducible permutations A357078, and A356265, which is a refinement of the number of reducible permutations. %e A357079 Triangle T(n, k) starts: [Row sums] %e A357079 [0] 1; [1] %e A357079 [1] 0, 1; [1] %e A357079 [2] 0, 1, 1; [2] %e A357079 [3] 0, 3, 2, 1; [6] %e A357079 [4] 0, 9, 12, 2, 1; [24] %e A357079 [5] 0, 49, 37, 31, 2, 1; [120] %e A357079 [6] 0, 329, 149, 176, 63, 2, 1; [720] %e A357079 [7] 0, 2561, 794, 853, 702, 127, 2, 1; [5040] %e A357079 [8] 0, 22369, 5599, 3836, 5709, 2549, 255, 2, 1; [40320] %e A357079 [9] 0, 216225, 47275, 18422, 37609, 33949, 8886, 511, 2, 1; [362880] %o A357079 (SageMath) %o A357079 def A357079_triangle(dim): %o A357079 T = A357078_triangle(dim) %o A357079 return [[0^n] + [T[n][k+1] + A356265_row(n)[k] %o A357079 for k in range(n)] for n in range(dim)] %o A357079 A357079_triangle(9) %Y A357079 Cf. A356265, A357078, A059438, A003319. %K A357079 nonn,tabl %O A357079 0,8 %A A357079 _Peter Luschny_, Sep 11 2022