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 A143806 #6 Nov 20 2022 10:53:05 %S A143806 1,1,1,2,3,2,6,11,12,7,24,50,70,70,36,120,274,450,595,540,250,720, %T A143806 1764,3248,5145,6300,5250,2229 %N A143806 Eigentriangle of A130534. %C A143806 Right border = A143805 (1, 1, 2, 7, 36, 250,...) = row sums shifted one place to the left, = (1, 2, 7, 36, 250,...). Sum of n-th row terms = rightmost term of next row. %C A143806 A130534 = the Stirling cycle numbers: %C A143806 1; %C A143806 1, 1; %C A143806 2, 3, 1; %C A143806 6, 11, 6, 1; %C A143806 ... %C A143806 The triangle by rows, applies termwise products of the eigensequence terms of A130534: (1, 1, 2, 7, 36, 250,...) = A143805; to row terms of A130534. Thus row 3 = (6, 11, 12, 7) = (6, 11, 6, 1) and termwise product of the first 4 terms of A143805: (1, 1, 2, 7). %F A143806 Triangle read by rows, A130534 * (A143805 * 0^(n-k)); 0<=k<=n. %e A143806 First few rows of the triangle: %e A143806 1; %e A143806 1, 1; %e A143806 2, 3, 2; %e A143806 6, 11, 12, 7; %e A143806 24, 50, 70, 70, 36; %e A143806 120, 274, 450, 595, 540, 250; %e A143806 720, 1764, 3248, 5145, 6300, 5250, 2229; %e A143806 ... %Y A143806 Cf. A130534, A143805. %K A143806 nonn,tabl,more %O A143806 0,4 %A A143806 _Gary W. Adamson_, Sep 01 2008