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 A210204 Triangle of coefficients of polynomials v(n,x) jointly generated with A210203; see the Formula section. 4
 1, 3, 2, 7, 8, 2, 15, 24, 12, 2, 31, 64, 48, 16, 2, 63, 160, 160, 80, 20, 2, 127, 384, 480, 320, 120, 24, 2, 255, 896, 1344, 1120, 560, 168, 28, 2, 511, 2048, 3584, 3584, 2240, 896, 224, 32, 2, 1023, 4608, 9216, 10752, 8064, 4032, 1344, 288, 36, 2, 2047 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Column 1:  -1+2^n Row sums: A048473 Alternating row sums: 1,1,1,1,1,1,1,1,1,... 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)=(x+1)*u(n-1,x)+(x+1)*v(n-1,x)+1, where u(1,x)=1, v(1,x)=1. EXAMPLE First five rows: 1 3....2 7....8....2 15...24...12...2 31...64...48...16...2 First three polynomials v(n,x): 1, 3 + 2x , 7 + 8x + 2x^2. 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_] := (x + 1)*u[n - 1, x] + (x + 1)*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[%]   (* A210203 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]   (* A210204 *) CROSSREFS Cf. A210203, A208510. Sequence in context: A226370 A054183 A188656 * A208657 A074680 A123496 Adjacent sequences:  A210201 A210202 A210203 * A210205 A210206 A210207 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Mar 18 2012 STATUS approved

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Last modified October 15 12:31 EDT 2019. Contains 328026 sequences. (Running on oeis4.)