Search: id:A041005
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%I A041005
%S A041005 1,16,159,1260,8722,55152,326811,1844084,10015566,52754624,270976342,
%T A041005 1362986520,6734927460,32775704608,157408497171,747269225028,
%U A041005 3511471892470,16351481223840,75525932249922,346305571781224
%N A041005 Convolution of Catalan numbers A000108(n+1), n >= 0, with A020918.
%C A041005 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 A041005 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.
%Y A041005 Sequence in context: A155649 A036973 A101931 this_sequence A144453 A121036 
               A073394
%Y A041005 Adjacent sequences: A041002 A041003 A041004 this_sequence A041006 A041007 
               A041008
%K A041005 easy,nonn
%O A041005 0,2
%A A041005 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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