# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a067050 Showing 1-1 of 1 %I A067050 #7 Dec 05 2013 19:55:07 %S A067050 1,1,1,3,2,1,6,60,6,1,10,3024,12600,24,1,15,240240,2874009600, %T A067050 38102400,120,1,21,27907200,129470223826944000,159950125679984640000, %U A067050 2112397056000,720,1,28,4475671200,1754345199379977566208000000 %N A067050 Triangle T(n,r), n>=0, r=n, n-1, ..., 1, 0; where T(n,r) = product of all possible sums of r numbers chosen from [1..n]. %C A067050 A dual to the triangle of the absolute values of Stirling numbers (sum of products) of the first kind. %D A067050 Amarnath Murthy, Smarandache Dual Symmetric Functions and Corresponding numbers of the type of Stirling numbers of the first kind, Smarandache Notions Journal, Vol. 12 No. 1-2-3, Spring 2001. %e A067050 E.g. T(4,3) = (1+2+3)*(1+2+4)*(1+3+4)*(2+3+4)=3024. %Y A067050 Row sums give A061296. %K A067050 nonn,tabl %O A067050 0,4 %A A067050 _Amarnath Murthy_, Dec 30 2001 %E A067050 Corrected and extended by _Vladeta Jovovic_, Dec 31 2001 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE