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 A193799 Mirror of the triangle A193798. 2
 1, 1, 1, 5, 3, 2, 25, 9, 12, 4, 125, 27, 54, 36, 8, 625, 81, 216, 216, 96, 16, 3125, 243, 810, 1080, 720, 240, 32, 15625, 729, 2916, 4860, 4320, 2160, 576, 64, 78125, 2187, 10206, 20412, 22680, 15120, 6048, 1344, 128, 390625, 6561, 34992, 81648, 108864 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS A193799 is obtained by reversing the rows of the triangle A193798. LINKS FORMULA Write w(n,k) for the triangle at A193798.  The triangle at A193799 is then given by w(n,n-k). EXAMPLE First six rows: 1 1.....1 5.....3....2 25....9....12....4 125...27...54....36...8 625...81...216...216..96..16 MATHEMATICA z = 8; a = 3; b = 2; p[n_, x_] := (a*x + b)^n q[n_, x_] := 1 + x^n ; q[n_, 0] := q[n, x] /. x -> 0; t[n_, k_] := Coefficient[p[n, x], x^k]; t[n_, 0] := p[n, x] /. x -> 0; w[n_, x_] := Sum[t[n, k]*q[n + 1 - k, x], {k, 0, n}]; w[-1, x_] := 1 g[n_] := CoefficientList[w[n, x], {x}] TableForm[Table[Reverse[g[n]], {n, -1, z}]] Flatten[Table[Reverse[g[n]], {n, -1, z}]]  (* A193798 *) TableForm[Table[g[n], {n, -1, z}]] Flatten[Table[g[n], {n, -1, z}]]  (* A193799 *) CROSSREFS Cf. A193798. Sequence in context: A193958 A259228 A241182 * A262225 A064812 A282469 Adjacent sequences:  A193796 A193797 A193798 * A193800 A193801 A193802 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 05 2011 STATUS approved

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Last modified October 23 08:14 EDT 2018. Contains 316520 sequences. (Running on oeis4.)