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Expansion of (1+x^3*C)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.
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%I #3 Mar 30 2012 16:49:26

%S 1,4,14,49,170,592,2077,7347,26195,94080,340136,1237090,4523615,

%T 16621732,61343875,227296695,845252415,3153656040,11802018060,

%U 44289999150,166635655320,628432803024,2375216296554,8995668139262

%N Expansion of (1+x^3*C)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Jun 06 2002