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 A167557 #12 Jun 15 2016 13:10:22 %S A167557 1,1,4,2,12,32,6,48,160,384,24,240,960,2688,6144,120,1440,6720,21504, %T A167557 55296,122880,720,10080,53760,193536,552960,1351680,2949120,5040, %U A167557 80640,483840,1935360,6082560,16220160,38338560,82575360 %N A167557 The lower left triangle of the ED1 array A167546. %C A167557 We discovered that the numbers that appear in the lower left triangle of the ED1 array A167546 (m <= n) behave in a regular way, see the formula below. This rather simple regularity doesn't show up in the upper right triangle of the ED1 array (m > n). %H A167557 G. C. Greubel, <a href="/A167557/b167557.txt">Table of n, a(n) for the first 50 rows</a> %F A167557 a(n,m) = 4^(m-1)*(m-1)!*(n+m-2)!/(2*m-2)!. %e A167557 The first few triangle rows are: %e A167557 [1] %e A167557 [1, 4] %e A167557 [2, 12, 32] %e A167557 [6, 48, 160, 384] %e A167557 [24, 240, 960, 2688, 6144] %e A167557 [120, 1440, 6720, 21504, 55296, 122880] %p A167557 a := proc(n, m): 4^(m-1)*(m-1)!*(n+m-2)!/(2*m-2)! end: seq(seq(a(n, m), m=1..n), n=1..8); # _Johannes W. Meijer_, revised Nov 23 2012 %t A167557 Flatten[Table[(4^(m-1) (m-1)!(n+m-2)!)/(2m-2)!,{n,10},{m,n}]] (* _Harvey P. Dale_, Sep 29 2013 *) %Y A167557 A167546 is the ED1 array. %Y A167557 A047053 and A167558 are the first two right hand triangle columns. %Y A167557 A000142, 4*A001710 (n>=2), 32*A001720, 384*A001730, 6144*A049389, 122880*A051431 are the first six left hand triangle columns. %Y A167557 A167559 equals the row sums. %K A167557 easy,nonn,tabl %O A167557 1,3 %A A167557 _Johannes W. Meijer_, Nov 10 2009