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 A193924 Mirror of the triangle A193923. 2
 1, 1, 1, 3, 2, 1, 8, 5, 3, 1, 21, 13, 8, 4, 1, 55, 34, 21, 12, 5, 1, 144, 89, 55, 33, 17, 6, 1, 377, 233, 144, 88, 50, 23, 7, 1, 987, 610, 377, 232, 138, 73, 30, 8, 1, 2584, 1597, 987, 609, 370, 211, 103, 38, 9, 1, 6765, 4181, 2584, 1596, 979, 581, 314, 141, 47 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS A193924 is obtained by reversing the rows of the triangle A193923. LINKS FORMULA Write w(n,k) for the triangle at A193923.  The triangle at A193924 is then given by w(n,n-k). EXAMPLE First six rows: 1 1....1 3....2....1 8....5....3....1 21...13...8....4....1 55...34...21...12...5...1 MATHEMATICA p[n_, x_] := (x + 1)^n; q[n_, x_] := Sum[Fibonacci[k + 1]*x^(n - k), {k, 0, n}]; 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}]]  (* A193923 *) TableForm[Table[g[n], {n, -1, z}]] Flatten[Table[g[n], {n, -1, z}]]  (* A193924 *) CROSSREFS Cf. A193923. Sequence in context: A158474 A090452 A305538 * A110439 A327917 A065602 Adjacent sequences:  A193921 A193922 A193923 * A193925 A193926 A193927 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 09 2011 STATUS approved

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Last modified January 22 22:16 EST 2020. Contains 331166 sequences. (Running on oeis4.)