100000000 samples for the 24-simplex j h[j] 0 0 1 0 2 0 3 0 4 0 5 31 6 1407 7 27783 8 291507 9 1791409 10 6767394 11 16191675 12 24927111 13 24924411 14 16187609 15 6775524 16 1793695 17 291130 18 27811 19 1470 20 33 21 0 22 0 23 0 24 0 25 0 A[24,24] += 1*h[24] A[24,23] += 24*h[24] A[24,22] += 276*h[24] A[24,21] += 2024*h[24] A[24,20] += 10626*h[24] A[24,19] += 42504*h[24] A[24,18] += 134596*h[24] A[24,17] += 346104*h[24] A[24,16] += 735471*h[24] A[24,15] += 1307504*h[24] A[24,14] += 1961256*h[24] A[24,13] += 2496144*h[24] A[24,12] += 2704156*h[24] A[24,11] += 2496144*h[24] A[24,10] += 1961256*h[24] A[24,9] += 1307504*h[24] A[24,8] += 735471*h[24] A[24,7] += 346104*h[24] A[24,6] += 134596*h[24] A[24,5] += 42504*h[24] A[24,4] += 10626*h[24] A[24,3] += 2024*h[24] A[24,2] += 276*h[24] A[24,1] += 24*h[24] A[24,0] += 1*h[24] A[24,23] += 1*h[23] A[24,22] += 23*h[23] A[24,21] += 253*h[23] A[24,20] += 1771*h[23] A[24,19] += 8855*h[23] A[24,18] += 33649*h[23] A[24,17] += 100947*h[23] A[24,16] += 245157*h[23] A[24,15] += 490314*h[23] A[24,14] += 817190*h[23] A[24,13] += 1144066*h[23] A[24,12] += 1352078*h[23] A[24,11] += 1352078*h[23] A[24,10] += 1144066*h[23] A[24,9] += 817190*h[23] A[24,8] += 490314*h[23] A[24,7] += 245157*h[23] A[24,6] += 100947*h[23] A[24,5] += 33649*h[23] A[24,4] += 8855*h[23] A[24,3] += 1771*h[23] A[24,2] += 253*h[23] A[24,1] += 23*h[23] A[24,0] += 1*h[23] A[24,22] += 1*h[22] A[24,21] += 22*h[22] A[24,20] += 231*h[22] A[24,19] += 1540*h[22] A[24,18] += 7315*h[22] A[24,17] += 26334*h[22] A[24,16] += 74613*h[22] A[24,15] += 170544*h[22] A[24,14] += 319770*h[22] A[24,13] += 497420*h[22] A[24,12] += 646646*h[22] A[24,11] += 705432*h[22] A[24,10] += 646646*h[22] A[24,9] += 497420*h[22] A[24,8] += 319770*h[22] A[24,7] += 170544*h[22] A[24,6] += 74613*h[22] A[24,5] += 26334*h[22] A[24,4] += 7315*h[22] A[24,3] += 1540*h[22] A[24,2] += 231*h[22] A[24,1] += 22*h[22] A[24,0] += 1*h[22] A[24,21] += 1*h[21] A[24,20] += 21*h[21] A[24,19] += 210*h[21] A[24,18] += 1330*h[21] A[24,17] += 5985*h[21] A[24,16] += 20349*h[21] A[24,15] += 54264*h[21] A[24,14] += 116280*h[21] A[24,13] += 203490*h[21] A[24,12] += 293930*h[21] A[24,11] += 352716*h[21] A[24,10] += 352716*h[21] A[24,9] += 293930*h[21] A[24,8] += 203490*h[21] A[24,7] += 116280*h[21] A[24,6] += 54264*h[21] A[24,5] += 20349*h[21] A[24,4] += 5985*h[21] A[24,3] += 1330*h[21] A[24,2] += 210*h[21] A[24,1] += 21*h[21] A[24,0] += 1*h[21] A[24,20] += 1*h[20] A[24,19] += 20*h[20] A[24,18] += 190*h[20] A[24,17] += 1140*h[20] A[24,16] += 4845*h[20] A[24,15] += 15504*h[20] A[24,14] += 38760*h[20] A[24,13] += 77520*h[20] A[24,12] += 125970*h[20] A[24,11] += 167960*h[20] A[24,10] += 184756*h[20] A[24,9] += 167960*h[20] A[24,8] += 125970*h[20] A[24,7] += 77520*h[20] A[24,6] += 38760*h[20] A[24,5] += 15504*h[20] A[24,4] += 4845*h[20] A[24,3] += 1140*h[20] A[24,2] += 190*h[20] A[24,1] += 20*h[20] A[24,0] += 1*h[20] A[24,19] += 1*h[19] A[24,18] += 19*h[19] A[24,17] += 171*h[19] A[24,16] += 969*h[19] A[24,15] += 3876*h[19] A[24,14] += 11628*h[19] A[24,13] += 27132*h[19] A[24,12] += 50388*h[19] A[24,11] += 75582*h[19] A[24,10] += 92378*h[19] A[24,9] += 92378*h[19] A[24,8] += 75582*h[19] A[24,7] += 50388*h[19] A[24,6] += 27132*h[19] A[24,5] += 11628*h[19] A[24,4] += 3876*h[19] A[24,3] += 969*h[19] A[24,2] += 171*h[19] A[24,1] += 19*h[19] A[24,0] += 1*h[19] A[24,18] += 1*h[18] A[24,17] += 18*h[18] A[24,16] += 153*h[18] A[24,15] += 816*h[18] A[24,14] += 3060*h[18] A[24,13] += 8568*h[18] A[24,12] += 18564*h[18] A[24,11] += 31824*h[18] A[24,10] += 43758*h[18] A[24,9] += 48620*h[18] A[24,8] += 43758*h[18] A[24,7] += 31824*h[18] A[24,6] += 18564*h[18] A[24,5] += 8568*h[18] A[24,4] += 3060*h[18] A[24,3] += 816*h[18] A[24,2] += 153*h[18] A[24,1] += 18*h[18] A[24,0] += 1*h[18] A[24,17] += 1*h[17] A[24,16] += 17*h[17] A[24,15] += 136*h[17] A[24,14] += 680*h[17] A[24,13] += 2380*h[17] A[24,12] += 6188*h[17] A[24,11] += 12376*h[17] A[24,10] += 19448*h[17] A[24,9] += 24310*h[17] A[24,8] += 24310*h[17] A[24,7] += 19448*h[17] A[24,6] += 12376*h[17] A[24,5] += 6188*h[17] A[24,4] += 2380*h[17] A[24,3] += 680*h[17] A[24,2] += 136*h[17] A[24,1] += 17*h[17] A[24,0] += 1*h[17] A[24,16] += 1*h[16] A[24,15] += 16*h[16] A[24,14] += 120*h[16] A[24,13] += 560*h[16] A[24,12] += 1820*h[16] A[24,11] += 4368*h[16] A[24,10] += 8008*h[16] A[24,9] += 11440*h[16] A[24,8] += 12870*h[16] A[24,7] += 11440*h[16] A[24,6] += 8008*h[16] A[24,5] += 4368*h[16] A[24,4] += 1820*h[16] A[24,3] += 560*h[16] A[24,2] += 120*h[16] A[24,1] += 16*h[16] A[24,0] += 1*h[16] A[24,15] += 1*h[15] A[24,14] += 15*h[15] A[24,13] += 105*h[15] A[24,12] += 455*h[15] A[24,11] += 1365*h[15] A[24,10] += 3003*h[15] A[24,9] += 5005*h[15] A[24,8] += 6435*h[15] A[24,7] += 6435*h[15] A[24,6] += 5005*h[15] A[24,5] += 3003*h[15] A[24,4] += 1365*h[15] A[24,3] += 455*h[15] A[24,2] += 105*h[15] A[24,1] += 15*h[15] A[24,0] += 1*h[15] A[24,14] += 1*h[14] A[24,13] += 14*h[14] A[24,12] += 91*h[14] A[24,11] += 364*h[14] A[24,10] += 1001*h[14] A[24,9] += 2002*h[14] A[24,8] += 3003*h[14] A[24,7] += 3432*h[14] A[24,6] += 3003*h[14] A[24,5] += 2002*h[14] A[24,4] += 1001*h[14] A[24,3] += 364*h[14] A[24,2] += 91*h[14] A[24,1] += 14*h[14] A[24,0] += 1*h[14] A[24,13] += 1*h[13] A[24,12] += 13*h[13] A[24,11] += 78*h[13] A[24,10] += 286*h[13] A[24,9] += 715*h[13] A[24,8] += 1287*h[13] A[24,7] += 1716*h[13] A[24,6] += 1716*h[13] A[24,5] += 1287*h[13] A[24,4] += 715*h[13] A[24,3] += 286*h[13] A[24,2] += 78*h[13] A[24,1] += 13*h[13] A[24,0] += 1*h[13] A[24,12] += 1*h[12] A[24,11] += 12*h[12] A[24,10] += 66*h[12] A[24,9] += 220*h[12] A[24,8] += 495*h[12] A[24,7] += 792*h[12] A[24,6] += 924*h[12] A[24,5] += 792*h[12] A[24,4] += 495*h[12] A[24,3] += 220*h[12] A[24,2] += 66*h[12] A[24,1] += 12*h[12] A[24,0] += 1*h[12] A[24,11] += 1*h[11] A[24,10] += 11*h[11] A[24,9] += 55*h[11] A[24,8] += 165*h[11] A[24,7] += 330*h[11] A[24,6] += 462*h[11] A[24,5] += 462*h[11] A[24,4] += 330*h[11] A[24,3] += 165*h[11] A[24,2] += 55*h[11] A[24,1] += 11*h[11] A[24,0] += 1*h[11] A[24,10] += 1*h[10] A[24,9] += 10*h[10] A[24,8] += 45*h[10] A[24,7] += 120*h[10] A[24,6] += 210*h[10] A[24,5] += 252*h[10] A[24,4] += 210*h[10] A[24,3] += 120*h[10] A[24,2] += 45*h[10] A[24,1] += 10*h[10] A[24,0] += 1*h[10] A[24,9] += 1*h[9] A[24,8] += 9*h[9] A[24,7] += 36*h[9] A[24,6] += 84*h[9] A[24,5] += 126*h[9] A[24,4] += 126*h[9] A[24,3] += 84*h[9] A[24,2] += 36*h[9] A[24,1] += 9*h[9] A[24,0] += 1*h[9] A[24,8] += 1*h[8] A[24,7] += 8*h[8] A[24,6] += 28*h[8] A[24,5] += 56*h[8] A[24,4] += 70*h[8] A[24,3] += 56*h[8] A[24,2] += 28*h[8] A[24,1] += 8*h[8] A[24,0] += 1*h[8] A[24,7] += 1*h[7] A[24,6] += 7*h[7] A[24,5] += 21*h[7] A[24,4] += 35*h[7] A[24,3] += 35*h[7] A[24,2] += 21*h[7] A[24,1] += 7*h[7] A[24,0] += 1*h[7] A[24,6] += 1*h[6] A[24,5] += 6*h[6] A[24,4] += 15*h[6] A[24,3] += 20*h[6] A[24,2] += 15*h[6] A[24,1] += 6*h[6] A[24,0] += 1*h[6] A[24,5] += 1*h[5] A[24,4] += 5*h[5] A[24,3] += 10*h[5] A[24,2] += 10*h[5] A[24,1] += 5*h[5] A[24,0] += 1*h[5] A[24,4] += 1*h[4] A[24,3] += 4*h[4] A[24,2] += 6*h[4] A[24,1] += 4*h[4] A[24,0] += 1*h[4] A[24,3] += 1*h[3] A[24,2] += 3*h[3] A[24,1] += 3*h[3] A[24,0] += 1*h[3] A[24,2] += 1*h[2] A[24,1] += 2*h[2] A[24,0] += 1*h[2] A[24,1] += 1*h[1] A[24,0] += 1*h[1] A[24,0] += 1*h[0] k A[24,k] 0 1.00000, 0.00000 1 1 0.50001, 1.00002 25 2 0.24338, 1.52922 300 3 0.11507, 1.44599 2300 4 0.05271, 1.04036 12650 5 0.02332, 0.61374 53130 6 0.00993, 0.30798 177100 7 0.00406, 0.13419 480700 8 0.00158, 0.05137 1081575 9 0.00059, 0.01739 2042975 10 0.00020, 0.00522 3268760 11 0.00007, 0.00139 4457400 12 0.00002, 0.00033 5200300 13 0.00001, 0.00007 5200300 14 0.00000, 0.00001 4457400 15 0.00000, 0.00000 3268760 16 0.00000, 0.00000 2042975 17 0.00000, 0.00000 1081575 18 0.00000, 0.00000 480700 19 0.00000, 0.00000 177100 20 0.00000, 0.00000 53130 21 0.00000, 0.00000 12650 22 0.00000, 0.00000 2300 23 0.00000, 0.00000 300 24 0.00000, 0.00000 25 25 0.00000, 0.00000 1