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binomial(j, n-k) * |Stirling1(n, n-j)|.","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:         0;\n  1:         4;\n  2:        20,          64;\n  3:       136,         800,         1152;\n  4:      1192,        9952,        27264,        24576;\n  5:     12828,      137248,       543936,       948224,        614400;\n  6:    163788,     2125472,     10924224,     27836416,      35205120,      17694720;\n  7:   2420304,    36803264,    231284736,    769711104,    1431941120,    1412923392,     578027520;\n  8:  40628880,   706948416,  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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-849de7332df28657","steps":["basis A013611","D"],"edges":["e-3d3e7193ca830199","e-f22271e466922ab0"],"text":"A088996 \u2192 basis A013611 \u2192 D"},"headline":"A088996 \u2192 basis A013611 \u2192 D","chain":null}