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0:           1;\n  1:          15,           18;\n  2:         225,          540,           324;\n  3:        3375,        12150,         14580,          5832;\n  4:       50625,       243000,        437400,        349920,         104976;\n  5:      759375,      4556250,      10935000,      13122000,        7873200,        1889568;\n  6:    11390625,     82012500,     246037500,     393660000,      354294000,      170061120,      34012224;\n  7:   170859375,   1435218750,    5166787500,   10333575000,    12400290000,     8928208800,    3571283520,     612220032;\n  8:  2562890625,  24603750000,  103335750000,  248005800000,   372008700000,   357128352000,  214277011200,   73466403840,   11019960576;\n  9: 38443359375, 415188281250, 1992903750000, 5580130500000, 10044234900000, 12053081880000, 9642465504000, 4958982259200, 1487694677760, 198359290368;\n","recurrence_sentence":"The row polynomials satisfy (1+x)*P(n,x) = (15+33*x+18*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 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