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A354054 a(n) = Product_{k=0..n} (k^6 + 1).

%I A354054 #17 Sep 19 2023 17:11:50
%S A354054 1,2,130,94900,388805300,6075471617800,283463279271694600,
%T A354054 33349454806314869690000,8742392830201411514885050000,
%U A354054 4646074730467898538293540742100000,4646079376542629006192079035640742100000,8230817672466612927467651920537784356160200000
%N A354054 a(n) = Product_{k=0..n} (k^6 + 1).
%H A354054 Winston de Greef, <a href="/A354054/b354054.txt">Table of n, a(n) for n = 0..103</a>
%F A354054 a(n) ~ (2*sinh(2*Pi) - 4*sinh(Pi)*cos(sqrt(3)*Pi)) * n^(6*n + 3) / exp(6*n).
%F A354054 a(n) ~ A258871 * (n!)^6.
%p A354054 A354054 := proc(n)
%p A354054     mul( k^6+1,k=0..n) ;
%p A354054 end proc:
%p A354054 seq(A354054(n),n=0..40) ; # _R. J. Mathar_, Jul 17 2023
%t A354054 Table[Product[k^6 + 1, {k, 0, n}], {n, 0, 15}]
%o A354054 (PARI) a(n) = prod(k=1, n, k^6+1);
%Y A354054 Cf. A002604, A101686, A255433, A255434, A258871, A354052.
%K A354054 nonn
%O A354054 0,2
%A A354054 _Vaclav Kotesovec_, May 16 2022