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 A207635 Triangle of coefficients of polynomials u(n,x) jointly generated with A207636; see the Formula section. 3
 1, 2, 5, 2, 11, 9, 2, 23, 29, 13, 2, 47, 81, 55, 17, 2, 95, 209, 191, 89, 21, 2, 191, 513, 591, 369, 131, 25, 2, 383, 1217, 1695, 1329, 631, 181, 29, 2, 767, 2817, 4607, 4353, 2591, 993, 239, 33, 2, 1535, 6401, 12031, 13313, 9535, 4577, 1471, 305, 37, 2 (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)+(x+1)*v(n-1,x)+1, where u(1,x)=1, v(1,x)=1. EXAMPLE First five rows: 1 2 5....2 11...9....2 23...29...13...2 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]    + (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[%]  (* A207635 *) Table[Expand[v[n, x]], {n, 1, z}] cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]  (* A207636 *) CROSSREFS Cf. A207636. Sequence in context: A276609 A292591 A240760 * A205715 A181338 A211175 Adjacent sequences:  A207632 A207633 A207634 * A207636 A207637 A207638 KEYWORD nonn,tabf AUTHOR Clark Kimberling, Feb 24 2012 STATUS approved

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Last modified January 23 10:40 EST 2022. Contains 350510 sequences. (Running on oeis4.)