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 A208515 Triangle of coefficients of polynomials v(n,x) jointly generated with A208514; see the Formula section. 3
 1, 1, 2, 1, 2, 3, 1, 2, 4, 5, 1, 2, 5, 8, 8, 1, 2, 6, 11, 15, 13, 1, 2, 7, 14, 23, 28, 21, 1, 2, 8, 17, 32, 47, 51, 34, 1, 2, 9, 20, 42, 70, 93, 92, 55, 1, 2, 10, 23, 53, 97, 148, 181, 164, 89, 1, 2, 11, 26, 65, 128, 217, 306, 346, 290, 144, 1, 2, 12, 29, 78, 163, 301 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS FORMULA u(n,x)=u(n-1,x)+x*v(n-1,x), v(n,x)=x*u(n-1,x)+x*v(n-1,x)+1, where u(1,x)=1, v(1,x)=1. EXAMPLE First five rows: 1 1...2 1...2...3 1...2...4...5 1...2...5...8...8 First five polynomials v(n,x): 1 1 + 2x 1 + 2x + 3x^2 1 + 2x + 4x^2 + 5x^3 1 + 2x + 5x^2 + 8x^3 + 8x^4 MATHEMATICA u[1, x_] := 1; v[1, x_] := 1; z = 16; u[n_, x_] := u[n - 1, x] + x*v[n - 1, x]; v[n_, x_] := x*u[n - 1, x] + x*v[n - 1, x] + 1; Table[Expand[u[n, x]], {n, 1, z/2}] Table[Expand[v[n, x]], {n, 1, z/2}] cu = Table[CoefficientList[u[n, x], x], {n, 1, z}]; TableForm[cu] Flatten[%]    (* A208514 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]    (* A208515 *) CROSSREFS Cf. A208514. Sequence in context: A209435 A263744 A268956 * A286880 A178030 A131879 Adjacent sequences:  A208512 A208513 A208514 * A208516 A208517 A208518 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Feb 28 2012 STATUS approved

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Last modified October 14 05:08 EDT 2019. Contains 327995 sequences. (Running on oeis4.)