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 A207632 Triangle of coefficients of polynomials v(n,x) jointly generated with A207631; see Formula section. 3
 1, 2, 2, 3, 4, 2, 5, 9, 6, 2, 8, 18, 17, 8, 2, 13, 35, 41, 27, 10, 2, 21, 66, 93, 76, 39, 12, 2, 34, 122, 200, 196, 125, 53, 14, 2, 55, 222, 415, 472, 360, 190, 69, 16, 2, 89, 399, 837, 1083, 957, 603, 273, 87, 18, 2, 144, 710, 1651, 2392, 2400, 1750, 945, 376 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Column 1: Fibonacci numbers, A000045. LINKS FORMULA u(n,x)=u(n-1,x)+v(n-1,x), v(n,x)=(x+1)*u(n-1,x)+x*v(n-1,x)+1, where u(1,x)=1, v(1,x)=1. EXAMPLE First five rows: 1 2...2 3...4....2 5...9....6....2 8...18...17...8...2 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_] := (x + 1)*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[%]  (* A207631 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]  (* A207632 *) CROSSREFS Cf. A207631. Sequence in context: A209570 A205703 A325785 * A175503 A245909 A077769 Adjacent sequences:  A207629 A207630 A207631 * A207633 A207634 A207635 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Feb 23 2012 STATUS approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)