Search: id:A047657
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%I A047657
%S A047657 1,2,16,224,4480,116480,3727360,141639680,6232145920,311607296000,
%T A047657 17450008576000,1081900531712000,73569236156416000,
%U A047657 5444123475574784000,435529878045982720000,37455569511954513920000
%N A047657 Sextuple factorial numbers: product[ k=0..n-1 ] (6*k+2).
%F A047657 E.g.f. (1-6*x)^(-1/3)
%F A047657 a(n) = 2^n*A007559(n).
%F A047657 a(n) = A084941(n)/A000142(n)*A000079(n) = 6^n*pochhammer(1/3, n) = 1/
               2*6^n*GAMMA(n+1/3)*sqrt(3)*GAMMA(2/3)/Pi - Daniel Dockery (peritus(AT)gmail.com) 
               Jun 13, 2003
%F A047657 Let b(n)=b(n-1)+6; then a(n)=b(n)*a(n-1). - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), 
               Sep 17 2008
%t A047657 k = 6; b[1] = 2; b[n_] := b[n] = b[n - 1] + k; a[0] = 1; a[1] = 2; a[n_] 
               := a[n] = a[n - 1]*b[n]; Table[a[n], {n, 0, 20}] - Roger L. Bagula 
               (rlbagulatftn(AT)yahoo.com), Sep 17 2008
%t A047657 s=1;lst={s};Do[s+=n*s;AppendTo[lst, s], {n, 1, 5!, 6}];lst [From Vladimir 
               Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
%Y A047657 Cf. A007559, A008542, A011781.
%Y A047657 Cf. A000165, A008544, A001813, A047055, A084947, A084948, A084949.
%Y A047657 Sequence in context: A012056 A062971 A012164 this_sequence A152542 A152029 
               A152069
%Y A047657 Adjacent sequences: A047654 A047655 A047656 this_sequence A047658 A047659 
               A047660
%K A047657 nonn,easy
%O A047657 0,2
%A A047657 Joe Keane (jgk(AT)jgk.org)

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