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 A207624 Triangle of coefficients of polynomials u(n,x) jointly generated with A102662; see the Formula section. 3
 1, 2, 3, 3, 4, 8, 3, 5, 15, 14, 3, 6, 24, 37, 20, 3, 7, 35, 76, 71, 26, 3, 8, 48, 135, 184, 117, 32, 3, 9, 63, 218, 395, 372, 175, 38, 3, 10, 80, 329, 748, 951, 664, 245, 44, 3, 11, 99, 472, 1295, 2094, 1987, 1084, 327, 50, 3, 12, 120, 651, 2096, 4137, 5032 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..62. FORMULA u(n,x)=u(n-1,x)+v(n-1,x), v(n,x)=2x*u(n-1,x)+x*v(n-1,x)+1, where u(1,x)=1, v(1,x)=1. u=A207624; v=A102662. EXAMPLE First five rows: 1 2 3...3 4...8....3 5...15...14...3 MATHEMATICA u[1, x_] := 1; v[1, x_] := 1; z = 16; u[n_, x_] := u[n - 1, x] + v[n - 1, x] v[n_, x_] := 2 x*u[n - 1, x] + x*v[n - 1, x] + 1 Table[Factor[u[n, x]], {n, 1, z}] Table[Factor[v[n, x]], {n, 1, z}] cu = Table[CoefficientList[u[n, x], x], {n, 1, z}]; TableForm[cu] Flatten[%] (* A207624 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%] (* A102662 *) CROSSREFS Cf. A102662. Sequence in context: A140514 A240209 A047079 * A203990 A238812 A227269 Adjacent sequences: A207621 A207622 A207623 * A207625 A207626 A207627 KEYWORD nonn,tabf AUTHOR Clark Kimberling, Feb 20 2012 STATUS approved

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)