A355259 Triangle read by rows. Row k are the coefficients of the polynomials (sorted by ascending powers) which interpolate the points (n, A355257(n, k+1)) for n = 0..k.
1, 3, 2, 14, 12, 3, 90, 82, 30, 4, 744, 680, 285, 60, 5, 7560, 6788, 2985, 760, 105, 6, 91440, 80136, 35532, 9870, 1715, 168, 7, 1285200, 1098984, 482300, 138796, 27160, 3444, 252, 8, 20603520, 17227584, 7425492, 2152584, 447405, 65520, 6342, 360, 9
Offset: 0
Examples
[0] 1; [1] 3, 2; [2] 14, 12, 3; [3] 90, 82, 30, 4; [4] 744, 680, 285, 60, 5; [5] 7560, 6788, 2985, 760, 105, 6; [6] 91440, 80136, 35532, 9870, 1715, 168, 7; [7] 1285200, 1098984, 482300, 138796, 27160, 3444, 252, 8; [8] 20603520, 17227584, 7425492, 2152584, 447405, 65520, 6342, 360, 9; . Seen as polynomials: p0(x) = 1; p1(x) = 3 + 2*x; p2(x) = 14 + 12*x + 3*x^2; p3(x) = 90 + 82*x + 30*x^2 + 4*x^3; p4(x) = 744 + 680*x + 285*x^2 + 60*x^3 + 5*x^4; p5(x) = 7560 + 6788*x + 2985*x^2 + 760*x^3 + 105*x^4 + 6*x^5; p6(x) = 91440 + 80136*x + 35532*x^2 + 9870*x^3 + 1715*x^4 + 168*x^5 + 7*x^6;
Crossrefs
Cf. A355257.
Comments