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One-fourth of fourth column of triangle A067304.
0

%I #7 Feb 10 2014 01:20:27

%S 7,71,768,8920,109232,1390800,18237952,244701440,3343713024,

%T 46374830848,651170275328,9238908291072,132251092529152,

%U 1907671386263552,27701755840561152,404632598092447744

%N One-fourth of fourth column of triangle A067304.

%F a(n)= A067304(n+3, 3)/4 = (A067297(n+3)-(b(n+3)+b(n+2)+4*b(n+1)))/4, n>=0, with b(n) := A064340(n).

%F G.f.: 4(3+10*c(4*x)+12*c(4*x)^2+3*c(4*x)^3)*(c(4*x)^3)/(1+c(4*x))^4, with c(x) g.f. of A000108 (Catalan).

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Feb 05 2002