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A116869 Sixth column of triangle A028364. 1

%I #2 Mar 31 2012 13:20:11

%S 132,297,869,2739,8986,30275,104006,362738,1280592,4566642,16423581,

%T 59497075,216901454,795117015,2929034130,10837075830,40253156520,

%U 150045410430,561097823490,2104382963214,7913603390196

%N Sixth column of triangle A028364.

%C Also sixth diagonal of triangle A067323.

%F a(n)= A028364(n+5,5) = sum(C(k)*C(n+5-k),k=0..5), with the Catalan numbers C(n):=A000108(n).

%F G.f.: (c5(x)*c(x)-(c5(x)-1)/x)/x^5, with c5(x) := sum(C(k)*x^k, k=0..5) and c(x) is the g.f. for the Catalan numbers A000108.

%Y Cf. A067296 (fifth column).

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Mar 24 2006

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Last modified July 17 22:17 EDT 2024. Contains 374377 sequences. (Running on oeis4.)