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v[1] = 1; v[2] = 5 + x; for(n = 2, N, my(i = n + 1); v[i] = (5 + x)*v[i - 1] - v[i - 2]); 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}},{"oeis_id":"A207824","target":"triangle","first_row":0,"oeis_offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":true,"rows_shown":10,"polytool_commit":"c48629374597092cc41ef4d6273f37991516f984","triangle_example":"Triangle begins:\n  0:       1;\n  1:       5,       1;\n  2:      24,      10,       1;\n  3:     115,      73,      15,       1;\n  4:     551,     470,     147,      20,      1;\n  5:    2640,    2828,    1190,     246,     25,     1;\n  6:   12649,   16310,    8631,    2400,    370,    30,     1;\n  7:   60605,   91371,   58275,   20385,   4225,   519,    35,   1;\n  8:  290376,  501150,  374115,  157800,  41140,  6790,   693,  40,  1;\n  9: 1391275, 2704755, 2313450, 1142730, 359275, 74571, 10220, 892, 45, 1;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (5+x)*P(n-1,x) - P(n-2,x) for n >= 2, with P(0,x) = 1, P(1,x) = 5 + x.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 5 + x;\nP[n_, x_] := P[n, x] = Expand[(5 + x)*P[n - 1, x] - P[n - 2, x]];\nTable[PadRight[CoefficientList[P[n, x], x], n + 1], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 5 + x; for(n = 2, N, my(i = n + 1); v[i] = (5 + x)*v[i - 1] - v[i - 2]); v};\nrow(n, p) = {my(c = Vecrev(p)); c = concat(c, vector(n + 1 - #c)); 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":true}}],"derivation":{"root":"n-c2b7c74f8491f01b","steps":[],"edges":[],"text":"A207824"},"headline":"A207824: Triangle of coefficients of Chebyshev's S(n,x+5) polynomials (exponents of x in increasing order).","chain":null}
