Numerics for the combinatorial Random variable, "Number of occurrences of the pattern 312", 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 312", defined over the sample space, "132-avoiding n-permutations" for n from 1 to , 20 The sequence of averages is [0, 0, 1/5, 11/14, 27/14, 125/33, 254/39, 14649/1430, 5653/374, 89240/4199, 845895/29393, 3932475/104006, 1058829/21850, 2259683/37145, 38289788/510255, 644782673/7071534, 4725624731/43214930, 1407424246/10855425, 5846333509/ 38418765, 193652281103/1094020070] and in floating-point [0., 0., .2000000000, .7857142857, 1.928571429, 3.787878788, 6.512820513, 10.24\ 405594, 15.11497326, 21.25267921, 28.77879087, 37.81007826, 48.45899314, 60.834\ 10957, 75.04049544, 91.18002869, 109.3516692, 129.6516945, 152.1739054, 177.009\ 8067] The sequence of variances is [0, 0, 4/25, 201/196, 2195/588, 22243/2178, 391372/16731, 96933729/2044900, 159631701/1818388, 5349814953/35263202, 214406965093/863948449, 4199386139801/ 10817248036, 4749102785153/8116182500, 21227863037363/24835518450, 6012810566884304/4946843135475, 84449633679446081/50006593113156, 4293672876837208889/1867530174904900, 7970351819479189523/2592485542473750, 137356505987688358027/33948034594880175, 18848671535048995786643/ 3590639740688414700] and in floating-point [0., 0., .1600000000, 1.025510204, 3.732993197, 10.21258035, 23.39202678, 47.40\ 267446, 87.78748045, 151.7109806, 248.1710168, 388.2120596, 585.1399701, 854.73\ 80672, 1215.484381, 1688.769989, 2299.118341, 3074.405503, 4046.081242, 5249.39\ 0887] The , 3, -th alpha coefficients for n from, 15, to , 20, are : [0.4186688659, 0.4246108262, 0.4307320885, 0.4369010817, 0.4430304226, 0.4490624909] The , 4, -th alpha coefficients for n from, 15, to , 20, are : [2.926517230, 2.956820550, 2.984117540, 3.008889344, 3.031517339, 3.052307304] The , 5, -th alpha coefficients for n from, 15, to , 20, are : [3.599580631, 3.693766891, 3.786191619, 3.876330079, 3.963858750, 4.048595271] The , 6, -th alpha coefficients for n from, 15, to , 20, are : [14.79293091, 15.24561855, 15.66679211, 16.06006545, 16.42853108, 16.77483471] This ends this numerical short article.