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 A111673 #20 Jun 30 2023 05:08:18 %S A111673 1,1,1,1,1,1,1,2,1,1,1,5,3,1,1,1,15,11,4,1,1,1,52,49,19,5,1,1,1,203, %T A111673 257,109,29,6,1,1,1,877,1539,742,201,41,7,1,1,1,4140,10299,5815,1657, %U A111673 331,55,8,1,1,1,21147,75905,51193,15821,3176,505,71,9,1,1,1,115975,609441,498118,170389,35451,5497,729,89,10,1,1 %N A111673 Triangle, generated from A111579. %C A111673 Columns are inverse binomial transforms of columns (k>0) of A111579. %H A111673 A. Kerber, <a href="https://doi.org/10.1016/0012-365X(78)90163-2">A matrix of combinatorial numbers related to the symmetric groups</a>, Discrete Math., 21 (1978), 319-321. %H A111673 A. Kerber, <a href="/A004211/a004211.pdf">A matrix of combinatorial numbers related to the symmetric groups</a>, Discrete Math., 21 (1978), 319-321. [Annotated scanned copy] %e A111673 First few rows of the triangle are: %e A111673 1, %e A111673 1, 1, %e A111673 1, 1, 1, %e A111673 1, 2, 1, 1, %e A111673 1, 5, 3, 1, 1, %e A111673 1, 15, 11, 4, 1, 1, %e A111673 1, 52, 49, 19, 5, 1, 1, %e A111673 1, 203, 257, 109, 29, 6, 1, 1, %e A111673 1, 877, 1539, 742, 201, 41, 7, 1, 1, %e A111673 1, 4140, 10299, 5815, 1657, 331, 55, 8, 1, 1, %e A111673 ... %e A111673 Inverse binomial transform of column 2 of A111579 (1, 2, 5, 15, 52, 203...) = column 2 (1, 1, 2, 5, 15, 52...). %Y A111673 Cf. A111579, A008277. %Y A111673 For two other versions of this triangle see A241578, A241579. %Y A111673 Rows and columns give A000110, A004211, A004212, A004213, A005011, A005012, A028387, A241577. %K A111673 nonn,tabl %O A111673 0,8 %A A111673 _Gary W. Adamson_, Aug 14 2005 %E A111673 More terms from _N. J. A. Sloane_, Apr 29 2014