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 A210191 Triangle of coefficients of polynomials u(n,x) jointly generated with A210192; see the Formula section. 3
 1, 3, 5, 3, 7, 10, 3, 9, 21, 16, 3, 11, 36, 47, 22, 3, 13, 55, 104, 85, 28, 3, 15, 78, 195, 236, 135, 34, 3, 17, 105, 328, 535, 456, 197, 40, 3, 19, 136, 511, 1058, 1227, 788, 271, 46, 3, 21, 171, 752, 1897, 2820, 2471, 1256, 357, 52, 3, 23, 210, 1059, 3160 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Period of alternating row sums:  (1,3,2,0) For a discussion and guide to related arrays, see A208510. LINKS FORMULA u(n,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 3 5...3 7...10...3 9...21...16...3 First three polynomials u(n,x): 1, 3, 5 + 3x. MATHEMATICA u[1, x_] := 1; v[1, x_] := 1; z = 16; u[n_, 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[%]    (* A210191 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]    (* A210192 *) CROSSREFS Cf. A210192, A208510. Sequence in context: A210041 A240499 A248511 * A110465 A100338 A094444 Adjacent sequences:  A210188 A210189 A210190 * A210192 A210193 A210194 KEYWORD nonn,tabf AUTHOR Clark Kimberling, Mar 18 2012 STATUS approved

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Last modified October 23 03:21 EDT 2019. Contains 328335 sequences. (Running on oeis4.)