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 A207630 Triangle of coefficients of polynomials v(n,x) jointly generated with A207629; see the Formula section. 4
 1, 3, 1, 6, 3, 12, 9, 1, 24, 24, 5, 48, 60, 19, 1, 96, 144, 62, 7, 192, 336, 184, 33, 1, 384, 768, 512, 128, 9, 768, 1728, 1360, 440, 51, 1, 1536, 3840, 3488, 1392, 230, 11, 3072, 8448, 8704, 4144, 900, 73, 1, 6144, 18432, 21248, 11776, 3192, 376, 13 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA u(n,x)=u(n-1,x)+v(n-1,x), v(n,x)=(x+1)*u(n-1,x)+v(n-1,x)+1, where u(1,x)=1, v(1,x)=1. EXAMPLE First five rows: 1 3....1 6....3 12...9....1 24...24...5 MATHEMATICA u[1, x_] := 1; v[1, x_] := 1; z = 16; u[n_, x_] := u[n - 1, x] + v[n - 1, x] v[n_, x_] := (x + 1)*u[n - 1, x] + v[n - 1, x] + 1 Table[Factor[u[n, x]], {n, 1, z}] Table[Factor[v[n, x]], {n, 1, z}] cu = Table[CoefficientList[u[n, x], x], {n, 1, z}]; TableForm[cu] Flatten[%]  (* A207629 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]  (* A207630 *) CROSSREFS Cf. A207629. Sequence in context: A165188 A294778 A132180 * A126191 A070883 A120029 Adjacent sequences:  A207627 A207628 A207629 * A207631 A207632 A207633 KEYWORD nonn,tabf AUTHOR Clark Kimberling, Feb 23 2012 STATUS approved

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Last modified June 17 17:12 EDT 2019. Contains 324196 sequences. (Running on oeis4.)