The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A117505 Triangle of coefficients for polynomials used for the column g.f.s of triangle A116880, called CM(1,2). 1
 1, 2, 1, 2, 4, 3, 2, 4, 16, 13, 2, 4, 16, 80, 67, 2, 4, 16, 80, 448, 381, 2, 4, 16, 80, 448, 2688, 2307, 2, 4, 16, 80, 448, 2688, 16896, 14589, 2, 4, 16, 80, 448, 2688, 16896, 109824, 95235, 2, 4, 16, 80, 448, 2688 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The g.f. G(m,x) for column m=1,2,... of triangle A116880=CM(1,2) is x*(-sum(a(m,k)*x^(k-1),k=1..m) + sum(a(m,k)*x^k,k=0..m)*2*c(2*x))/(1+x), with the o.g.f. c(x) of A000108 (Catalan numbers). LINKS Table of n, a(n) for n=0..50. W. Lang: First 10 rows. FORMULA a(m,m)= A064062(m) =:C(2;m), m>=0 and a(m,k)=2*A052701(k) = C(k)*2^(k+1), for k=1,...,m-1 and C(k):=A000108(k) (Catalan). EXAMPLE m=3: G(3,x)= x*(-(4+16*x+13*x^2) + (2+4*x+16*x^2+13*x^3)*2*c(2*x))/(1+x). CROSSREFS Sequence in context: A133422 A331136 A099312 * A331499 A209128 A209131 Adjacent sequences: A117502 A117503 A117504 * A117506 A117507 A117508 KEYWORD nonn,easy,tabl AUTHOR Wolfdieter Lang, Apr 13 2006 STATUS approved

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

Last modified April 23 12:27 EDT 2024. Contains 371912 sequences. (Running on oeis4.)