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in other words, the unsigned Stirling numbers of the first kind in reverse order).","first_index":0,"fingerprint":"f6-34eaf45657600f7a","polytool_family":null,"degree_pattern":"affine","palindromic":0,"gamma_positive":0,"nonnegative":1,"rr_by_factors":1,"preview_rows":[["1"],["1","1"],["1","3","2"]],"card_rows":[["1"],["1","1"],["1","3","2"],["1","6","11","6"]],"row_sums_preview":["1","2","6","24","120","720","5040","40320"],"regions":["(-inf, 0)","(-inf, 0]"],"region_exact":{},"oeis_ids":["A094638"],"derivation":{"root":"n-4d60c3dd8627c01d","steps":[],"edges":[],"text":"A094638"},"headline":"A094638: Triangle read by rows: T(n,k) = |s(n,n+1-k)|, where s(n,k) are the signed Stirling numbers of the first kind A008276 (1 <= k <= n; in other words, the unsigned Stirling numbers of the first kind in reverse order).","chain":null}}],"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:   1;\n  1:   2,     2;\n  2:   4,    12,      8;\n  3:   8,    48,     88,      48;\n  4:  16,   160,    560,     800,      384;\n  5:  32,   480,   2720,    7200,     8768,      3840;\n  6:  64,  1344,  11200,   47040,   103936,    112896,     46080;\n  7: 128,  3584,  41216,  250880,   866432,   1680896,   1672704,    645120;\n  8: 256,  9216, 139776, 1161216,  5746944,  17224704,  30239744,  28053504,  10321920;\n  9: 512, 23040, 445440, 4838400, 32395776, 137894400, 370524160, 600422400, 525606912, 185794560;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (2+2*n*x)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(2 + 2*n*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); 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