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 A207627 Triangle of coefficients of polynomials u(n,x) jointly generated with A207628; see the Formula section. 3
 1, 2, 3, 4, 4, 10, 8, 5, 18, 28, 16, 6, 28, 64, 72, 32, 7, 40, 120, 200, 176, 64, 8, 54, 200, 440, 576, 416, 128, 9, 70, 308, 840, 1456, 1568, 960, 256, 10, 88, 448, 1456, 3136, 4480, 4096, 2176, 512, 11, 108, 624, 2352, 6048, 10752, 13056, 10368, 4864 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Column n is divisible by 2^(n-1); row n ends with 2^(n-1). LINKS FORMULA u(n,x)=u(n-1,x)+v(n-1,x), v(n,x)=2x*u(n-1,x)+2x*v(n-1,x)+1, where u(1,x)=1, v(1,x)=1. The row sums =:  2, 7, 22, 67, ... are given by (5*3^n -1)/2 for n = 0, 1, 2, 3, ... . - Philippe Deléham, Feb 25 2012 EXAMPLE First five rows: 1 2 3...4 4...10...8 5...18...28...16 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_] := 2 x*u[n - 1, x] + (x + 1)*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[%]    (* A207625 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]    (* A207626 *) CROSSREFS Cf. A207628. Sequence in context: A118263 A217478 A279788 * A102539 A240220 A250229 Adjacent sequences:  A207624 A207625 A207626 * A207628 A207629 A207630 KEYWORD nonn,tabf AUTHOR Clark Kimberling, Feb 21 2012 STATUS approved

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Last modified October 20 10:00 EDT 2019. Contains 328257 sequences. (Running on oeis4.)