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 A193900 Mirror of the triangle A193899. 2
 1, 2, 1, 10, 5, 2, 42, 21, 10, 4, 170, 85, 42, 20, 8, 682, 341, 170, 84, 40, 16, 2730, 1365, 682, 340, 168, 80, 32, 10922, 5461, 2730, 1364, 680, 336, 160, 64, 43690, 21845, 10922, 5460, 2728, 1360, 672, 320, 128, 174762, 87381, 43690, 21844, 10920 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A193900 is obtained by reversing the rows of the triangle A193899. LINKS FORMULA Write w(n,k) for the triangle at A193899.  The triangle at A193900 is then given by w(n,n-k). EXAMPLE First six rows: 1 2.....1 10....5....2 42....21...10...4 170...85...42...20..8 682...341..170..84..40..16 MATHEMATICA z = 12; p[n_, x_] := x*p[n - 1, x] + 2^n; p[0, x_] := 1; q[n_, x_] := p[n, x]; 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}]]  (* A193899 *) TableForm[Table[g[n], {n, -1, z}]] Flatten[Table[g[n], {n, -1, z}]]  (* A193900 *) CROSSREFS Cf. A193899. Sequence in context: A235608 A112333 A066868 * A319373 A143172 A004747 Adjacent sequences:  A193897 A193898 A193899 * A193901 A193902 A193903 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 08 2011 STATUS approved

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Last modified December 9 02:23 EST 2021. Contains 349624 sequences. (Running on oeis4.)