W. Lang, Nov 9 2007 a(n,m) tabl head (triangle) for A030523 (s1p(3) aka s1(3)) n\m 1 2 3 4 5 6 7 8 9 10 ... 1 1 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 3 8 6 1 0 0 0 0 0 0 0 4 20 25 9 1 0 0 0 0 0 0 5 48 88 51 12 1 0 0 0 0 0 6 112 280 231 86 15 1 0 0 0 0 7 256 832 912 476 130 18 1 0 0 0 8 576 2352 3276 2241 850 183 21 1 0 0 9 1280 6400 10976 9424 4645 1380 245 24 1 0 10 2816 16896 34848 36432 22363 8583 2093 316 27 1 . . . The first column gives A001792 = [1,3,8,20,48,112,256,576,1280,2816,...]. The row sums give A039717= [1,4,15,55,200,725,2625,9500,34375,124375,...]. The alternating row sums give A057682 = [1, 2, 3, 3, 0, -9, -27, -54, -81, -81]. ################################### e.o.f. #############################################