Search: id:A084947
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%I A084947
%S A084947 1,2,18,288,6624,198720,7352640,323516160,16499324160,956960801280,
%T A084947 62202452083200,4478576549990400,353807547449241600,
%U A084947 30427449080634777600,2829752764499034316800,282975276449903431680000
%N A084947 Product(7*i+2,i=0..n-1).
%F A084947 A084947(n) = A084942(n)/A000142(n)*A000079(n) = 7^n*pochhammer(2/7, n) 
               = 7^n*GAMMA(n+2/7)/GAMMA(2/7)
%F A084947 a(0) = 1; a(n) = (7*n - 5)*a(n-1) for n > 0. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), 
               Nov 10 2008]
%p A084947 a := n->product(7*i+2,i=0..n-1); [seq(a(j),j=0..30)];
%t A084947 s=1;lst={s};Do[s+=n*s;AppendTo[lst, s], {n, 1, 5!, 7}];lst [From Vladimir 
               Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
%o A084947 (MAGMA) [ 1 ] cat [ &*[ (7*k+2): k in [0..n-1] ]: n in [1..15] ]; [From 
               Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 10 2008]
%Y A084947 Cf. A000165, A008544, A001813, A047055, A047657, A084948, A084949.
%Y A084947 Sequence in context: A138275 A127134 A131455 this_sequence A123385 A121564 
               A092563
%Y A084947 Adjacent sequences: A084944 A084945 A084946 this_sequence A084948 A084949 
               A084950
%K A084947 easy,nonn
%O A084947 0,2
%A A084947 Daniel Dockery (peritus(AT)gmail.com) Jun 13 2003
%E A084947 a(15) from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 10 2008

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