%I A143464
%S A143464 0,1,3,11,42,164,649,2591,10408,41998,170050,690370,2808714,11446642,
%T A143464 46715469,190876527,780679200,3195628806,13090353594,53655587034,
%U A143464 220045073988,902842397664,3705876933930,15216954519222,62503485455208
%N A143464 Catalan transform of the Pell sequence.
%D A143464 Barry, P. A Catalan Transform and Related Transformations of Integer 
               Sequences, Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.4
%D A143464 Falcon S. and Plaza \'A. The $k$-Fibonacci sequence and the Pascal $2$-triangle. 
               Chaos, Solitons \& Fractals 2007; 33(1): 38-49.
%D A143464 Falcon S. and Plaza \'A. On the Fibonacci $k$-numbers. Chaos, Solitons 
               \& Fractals 2007; 32(5): 1615-24.
%F A143464 CF_{2,0}:=0 CF_{2,n}:= sum_{i=0}^n frac{i}{2n-i} {{2n-i}choose{n-i}} 
               Fibonacci[n,k] for n>=1
%F A143464 a(n)=Sum_{k, 0<=k<=n} A106566(n,k)*A000129(k). [From Philippe DELEHAM 
               (kolotoko(AT)wanadoo.fr), Oct 28 2008]
%F A143464 a(n)=Sum_{k, 0<=k<=n} A039599(n,k)*A000035(k)*A016116(k). [From Philippe 
               DELEHAM (kolotoko(AT)wanadoo.fr), Oct 28 2008]
%t A143464 Clear["Global`"] f[n_, k_] := Fibonacci[n, k] n = 25; k = 2; Do[Print[Sum[i/
               (2j - i) Binomial[2j - i, j - i]*f[i, k], {i, 0, j}]], {j, 1, n}]
%Y A143464 Cf. A109262, A000129.
%Y A143464 Sequence in context: A059716 A122368 A032443 this_sequence A117641 A084782 
               A149068
%Y A143464 Adjacent sequences: A143461 A143462 A143463 this_sequence A143465 A143466 
               A143467
%K A143464 nonn
%O A143464 0,3
%A A143464 Sergio Falcon (sfalcon(AT)dma.ulpgc.es), Oct 24 2008
%E A143464 Corrected offset. - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 28 
               2008