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 A210550 Triangle of coefficients of polynomials v(n,x) jointly generated with A210549; see the Formula section. 3
 1, 2, 2, 2, 6, 4, 2, 7, 16, 8, 2, 7, 23, 40, 16, 2, 7, 24, 71, 96, 32, 2, 7, 24, 81, 207, 224, 64, 2, 7, 24, 82, 266, 575, 512, 128, 2, 7, 24, 82, 279, 843, 1535, 1152, 256, 2, 7, 24, 82, 280, 939, 2572, 3967, 2560, 512, 2, 7, 24, 82, 280, 955, 3102, 7565, 9983 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums: -1+odd-indexed Fibonacci numbers For a discussion and guide to related arrays, see A208510. LINKS FORMULA u(n,x)=x*u(n-1,x)+x*v(n-1,x)+1, v(n,x)=u(n-1,x)+2x*v(n-1,x)+1 where u(1,x)=1, v(1,x)=1. EXAMPLE First five rows: 2 2...2 2...6...4 2...7...16....8 2...7...28....40...16 First three polynomials v(n,x): 2, 2 + 2x , 2 + 6x + 4x^2. MATHEMATICA u[1, x_] := 1; v[1, x_] := 1; z = 16; u[n_, x_] := x*u[n - 1, x] + x*v[n - 1, x] + 1; v[n_, x_] := u[n - 1, x] + 2 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[%]    (* A210549 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]    (* A210550 *) CROSSREFS Cf. A210549, A208510. Sequence in context: A158524 A054274 A053695 * A208659 A209752 A119918 Adjacent sequences:  A210547 A210548 A210549 * A210551 A210552 A210553 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Mar 22 2012 STATUS approved

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Last modified October 22 00:52 EDT 2019. Contains 328315 sequences. (Running on oeis4.)