a(n,m) tabl head (triangle) for A129065 n\m 0 1 2 3 4 5 6 7 8 9... 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 2 0 2 1 0 0 0 0 0 0 0 3 0 12 10 1 0 0 0 0 0 0 4 0 144 156 28 1 0 0 0 0 0 5 0 2880 3696 908 60 1 0 0 0 0 6 0 86400 125280 37896 3508 110 1 0 0 0 7 0 3628800 5780160 2036592 236472 10528 182 1 0 0 8 0 203212800 349090560 138517632 19022736 1074176 26600 280 1 0 9 0 14631321600 26760222720 11692594944 1831851648 123501456 3908224 59304 408 1 . . . Row sums give: A129066 = [1,1,3,23,329,7545,253195,11692735,710944785,55043460305,5286546264275,...] The column sequences give (without leading zeros): m=0: [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,...] = A000007. m=1: [1, 2, 12, 144, 2880, 86400, 3628800, 203212800, 14631321600, 1316818944000, 144850083840000, 19120211066880000, 2982752926433280000, 542861032610856960000, 114000816848279961600000, 27360196043587190784000000, 7441973323855715893248000000, 2277243837099849063333888000000,...] 19120211066880000, 2982752926433280000, ...] = A010790. m=2: [1, 10, 156, 3696, 125280, 5780160, 349090560, 26760222720, 2540101939200, 292579402752000, 40213832085504000, 6502800338141184000, 1222285449585328128000, 264279998869470904320000, 65137211981397216460800000, 18155084795637437929881600000, 5681969493970603176728985600000,...] = A129460. m=3: [1, 28, 908, 37896, 2036592, 138517632, 11692594944, 1202885199360, 148407122764800, 21652192199577600, 3690199478509977600, 726862474705593139200, 163918208008013340672000, 41972838467958816768000000, 12113541726314742978969600000, 3914463721392093780010598400000,...] = A129461. etc. ############################################# e.o.f. ###################################################