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 A210223 Triangle of coefficients of polynomials u(n,x) jointly generated with A210224; see the Formula section. 3
 1, 2, 1, 2, 5, 1, 2, 7, 10, 1, 2, 7, 22, 17, 1, 2, 7, 26, 57, 26, 1, 2, 7, 26, 89, 126, 37, 1, 2, 7, 26, 97, 266, 247, 50, 1, 2, 7, 26, 97, 346, 695, 442, 65, 1, 2, 7, 26, 97, 362, 1127, 1618, 737, 82, 1, 2, 7, 26, 97, 362, 1319, 3298, 3425, 1162, 101, 1, 2, 7, 26 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Limiting row:  A001075 For a discussion and guide to related arrays, see A208510. LINKS FORMULA u(n,x)=x*u(n-1,x)+v(n-1,x)+1, v(n,x)=2x*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...1 2...5...1 2...7...10...1 2...7...22...17...1 First three polynomials u(n,x): 1, 2 + x, 2 + 5x + x^2. MATHEMATICA u[1, x_] := 1; v[1, x_] := 1; z = 16; u[n_, x_] := x*u[n - 1, x] + v[n - 1, x] + 1; v[n_, x_] := 2 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[%]     (* A210223 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]     (* A210224 *) CROSSREFS Cf. A210224, A208510. Sequence in context: A144224 A122881 A210217 * A242598 A225568 A291694 Adjacent sequences:  A210220 A210221 A210222 * A210224 A210225 A210226 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Mar 20 2012 STATUS approved

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Last modified October 17 18:58 EDT 2019. Contains 328127 sequences. (Running on oeis4.)