Numerics for the combinatorial Random variable, "Number of occurrences of the pattern 321", defined in the samle space of, "132-avoiding n-permutations" By Shalosh B. Ekhad The input is the sequence of generating functions for the random variable, "Number of occurrences of the pattern 321", defined over the sample space, "132-avoiding n-permutations" for n from 1 to , 20 The sequence of averages is [0, 0, 1/5, 13/14, 109/42, 17/3, 4570/429, 25879/1430, 138917/4862, 10540/247, 1793335/29393, 8759885/104006, 41957753/371450, 2149267/14535, 1838456788/ 9694845, 8448076171/35357670, 698808787/2357178, 1494343154/4117575, 387929321651/883631595, 1724636810651/3282060210] and in floating-point [0., 0., .2000000000, .9285714286, 2.595238095, 5.666666667, 10.65268065, 18.09\ 720280, 28.57198684, 42.67206478, 61.01231586, 84.22480434, 112.9566644, 147.86\ 83867, 189.6324065, 238.9319254, 296.4599139, 362.9182599, 439.0170336, 525.473\ 8488] The sequence of variances is [0, 0, 4/25, 265/196, 10589/1764, 1891/99, 9075602/184041, 225301489/2044900, 5232738705/23639044, 425189118/1037153, 614994898696/863948449, 12689006872233/ 10817248036, 255407730855741/137975102500, 13686443896843/4859123175, 390495165718809116/93990019574025, 7458513158249393849/1250164827828900, 2557565150817472607/305595846802620, 5654859043763956486/491678292538125, 12117908940553761023054/780804795682244025, 221951423270718440020409/ 10771919222065244100] and in floating-point [0., 0., .1600000000, 1.352040816, 6.002834467, 19.10101010, 49.31293570, 110.1\ 772649, 221.3599968, 409.9579503, 711.8421237, 1173.034660, 1851.114630, 2816.6\ 48890, 4154.645009, 5966.023833, 8369.109651, 11501.13627, 15519.76756, 20604.6\ 3124] The , 3, -th alpha coefficients for n from, 15, to , 20, are : [0.06527278865, 0.03343461589, 0.005005571974, -0.02055459307, -0.04367626785, -0.06470668916] The , 4, -th alpha coefficients for n from, 15, to , 20, are : [2.651226499, 2.659734891, 2.669788688, 2.680825432, 2.692452105, 2.704392260] The , 5, -th alpha coefficients for n from, 15, to , 20, are : [0.6228318146, 0.3673622006, 0.1359906286, -0.07497184266, -0.2684451716, -0.4467786700] The , 6, -th alpha coefficients for n from, 15, to , 20, are : [10.56962622, 10.62450129, 10.71323219, 10.82627947, 10.95667320, 11.09926566] This ends this numerical short article.