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%I #4 Mar 31 2012 13:19:58
%S 1,16,159,1260,8722,55152,326811,1844084,10015566,52754624,270976342,
%T 1362986520,6734927460,32775704608,157408497171,747269225028,
%U 3511471892470,16351481223840,75525932249922,346305571781224
%N Convolution of Catalan numbers A000108(n+1), n >= 0, with A020918.
%C Also convolution of A001791(n+1), n >= 0, with A038845; also convolution of A008549(n+1), n >= 0, with A002802; also convolution of A029760 with A002697; also convolution of A038806(n+1), n >= 0, with A002457; also convolution of A038836 with A000302 (powers of 4); also convolution of A041001 with A000984 (central binomial coefficients).
%F a(n)=binomial(n+7, 3)*binomial(2*(n+4), n+2)/20 - (n+4)*(n+3)*4^(n+1); G.f. (c(x)^2)/(1-4*x)^(7/2), where c(x) = g.f. for Catalan numbers.
%K easy,nonn
%O 0,2
%A _Wolfdieter Lang_
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