This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A210878 Triangle of coefficients of polynomials u(n,x) jointly generated with A210879; see the Formula section. 3
 1, 0, 3, 0, 4, 7, 0, 2, 14, 17, 0, 2, 12, 46, 41, 0, 2, 8, 54, 140, 99, 0, 2, 8, 42, 212, 408, 239, 0, 2, 8, 34, 200, 758, 1154, 577, 0, 2, 8, 34, 160, 866, 2544, 3194, 1393, 0, 2, 8, 34, 144, 754, 3448, 8154, 8696, 3363, 0, 2, 8, 34, 144, 642, 3400, 12850 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Leading coefficient of u(n,x):  A001333 Limiting row:  0,2,8,34,144,610,...(Fibonacci numbers) For a discussion and guide to related arrays, see A208510. LINKS FORMULA u(n,x)=x*u(n-1,x)+2x*v(n-1,x), v(n,x)=(x+1)*u(n-1,x)+x*v(n-1,x)+1, where u(1,x)=1, v(1,x)=1. EXAMPLE First six rows: 1 0...3 0...4...7 0...2...14...17 0...2...12...46...41 0...2...8....54...140...99 First three polynomials u(n,x): 1, 3x, 4x + 7x^2. MATHEMATICA u[1, x_] := 1; v[1, x_] := 1; z = 14; u[n_, x_] := x*u[n - 1, x] + 2 x*v[n - 1, x]; v[n_, x_] := (x + 1)*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[%]    (* A210878 *) cv = Table[CoefficientList[v[n, x], x], {n, 1, z}]; TableForm[cv] Flatten[%]    (* A210879 *) CROSSREFS Cf. A210879, A208510. Sequence in context: A111493 A190181 A145092 * A320373 A303274 A199608 Adjacent sequences:  A210875 A210876 A210877 * A210879 A210880 A210881 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Mar 30 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 6 04:14 EST 2019. Contains 329784 sequences. (Running on oeis4.)