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A368791 a(n) = A008544(n) * Sum_{k=0..n} 1/A008544(k).

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%I A368791 #8 Jan 06 2024 09:22:05
%S A368791 1,3,16,129,1420,19881,337978,6759561,155469904,4042217505,
%T A368791 117224307646,3751177844673,131291224563556,4989066533415129,
%U A368791 204551727870020290,9000276026280892761,423012973235201959768,21150648661760097988401,1120984379073285193385254
%N A368791 a(n) = A008544(n) * Sum_{k=0..n} 1/A008544(k).
%F A368791 a(n) = (3*n-1) * a(n-1) + 1.
%o A368791 (PARI) a008544(n) = prod(k=1, n, 3*k-1);
%o A368791 a(n) = a008544(n)*sum(k=0, n, 1/a008544(k));
%Y A368791 Row sums of A112333.
%Y A368791 Cf. A008544, A368790.
%K A368791 nonn,easy
%O A368791 0,2
%A A368791 _Seiichi Manyama_, Jan 05 2024