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generated with A207607; see the Formula section.","uses":{"claim":"real_rooted","from_index":0,"region":{"upper":{"closed":true,"value":"0"}}},"uses_text":"Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]"}]}],"used_by":[],"used_by_total":0,"links":[],"oeis":[],"bfiles":[],"oeis_texts":[{"oeis_id":"","target":"node","first_row":0,"oeis_offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false,"rows_shown":10,"polytool_commit":"c48629374597092cc41ef4d6273f37991516f984","triangle_example":"Triangle begins:\n  0:      44,       64;\n  1:     176,      544,       384;\n  2:     620,     2976,      4416,      2048;\n  3:    2040,    13344,     30720,     29696,      10240;\n  4:    6432,    53376,    167808,    250880,     179200,      49152;\n  5:   19696,   198240,    792960,   1617920,    1781760,    1007616,     229376;\n  6:   59044,   698912,   3400512,   8832000,   13255680,   11526144,    5390336,    1048576;\n  7:  174160,  2370848,  13602048, 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v[1] = 44 + 64*x; for(n = 1, N, my(i = n + 1); v[i] = ((12*n^2 - 8*n - 132 + (112*n^2 + 448*n + 336)*x + (128*n^2 + 640*n + 768)*x^2)*v[i - 1] + (5*n - 5 + (64*n + 56)*x + (208*n + 368)*x^2 + (128*n + 256)*x^3)*deriv(v[i - 1], x))/(8*n^2 - 16*n - 24 + (64*n^2 + 160*n + 96)*x)); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i - 1, v[i])))};\nT(9)","reading":{"first_row":0,"offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-dfab35176bd08e72","steps":["basis A013611","D"],"edges":["e-b12bbff1e34cdc3a","e-6884887541d5f554"],"text":"A207606 \u2192 basis A013611 \u2192 D"},"headline":"A207606 \u2192 basis A013611 \u2192 D","chain":null}