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 A144107 #2 Mar 30 2012 17:25:32 %S A144107 1,1,1,3,1,2,13,3,2,6,71,13,6,6,24,461,71,26,18,24,120,3447,461,142, %T A144107 78,72,120,720,29093,3447,922,426,312,360,720,5040 %N A144107 Eigentriangle, row sums = n! %C A144107 Sum of n-th row terms = rightmost term of next row. %C A144107 Left border = A003319. %F A144107 Eigentriangle by rows, T(n,k) = A003319(n-k+1)*((n-1)!). %F A144107 Given an infinite lower triangular matrix with A003319 in every column: (1, 1, 3, 13, 71,...); we apply termwise products of row terms to an equal number of %F A144107 terms in the factorial sequence: (1, 1, 2, 6, 24,...). %e A144107 First few rows of the triangle = %e A144107 1; %e A144107 1, 1; %e A144107 3, 1, 2; %e A144107 13, 3, 2, 6; %e A144107 71, 13, 6, 6, 24; %e A144107 461, 71, 26, 18, 24, 120; %e A144107 3447, 461, 142, 78, 72, 120, 720; %e A144107 29093, 3447, 922, 426, 312, 360, 720, 5040; %e A144107 ... %e A144107 Example: Row 4 = (13, 3, 2, 6) = termwise products of (13, 3, 1, 1) and (1, 1, 2, 6) = (13*1, 3*1, 1*2, 1*6); where (13, 3, 1, 1) = the first 4 terms of A003319, reversed. [Line corrected by Brad Fox, Sep 15 2008] %Y A144107 Cf. A000142, A003319. %K A144107 nonn,tabl %O A144107 1,4 %A A144107 _Gary W. Adamson_, Sep 11 2008