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A Catalan-like sequence.
0

%I #4 Mar 31 2012 10:30:27

%S 0,1,4,11,36,115,381,1287,4420,15396,54264,193154,693373,2507287,

%T 9124560,33393355,122821380,453756765,1683107800,6265751310,

%U 23402516280,87670790155,329337229104,1240292449350,4681874312509

%N A Catalan-like sequence.

%D Felix Goldberg, A problem relating to a family of Catalan-like sequences, forthcoming.

%F a(n) = Floor( 1/(n+k)*C(pn, n) ), where k=2, p=2.

%e a(6)=115 because 1/(6+2)*C(12,6) is 115.5 and taking the floor we obtain 115.

%Y Cf. A000108, A054542.

%K nonn

%O 1,3

%A Felix Goldberg (sgefelix(AT)t2.technion.ac.il), Apr 11 2000

%E More terms from _James A. Sellers_, Apr 12 2000