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%I #10 Jan 15 2024 14:44:38
%S 1,2,6,6,120,120,5040,5040,40320,362880,39916800,39916800,6227020800,
%T 6227020800,87178291200,1307674368000,355687428096000,355687428096000,
%U 121645100408832000,121645100408832000,2432902008176640000,51090942171709440000
%N a(n) = (n + 1)^[is_prime(n + 1)] * n!.
%F a(2*n)*Bernoulli(2*n) = A347425(n).
%t A369119[n_] := n! If[PrimeQ[n+1], n+1, 1];
%t Array[A369119, 25, 0] (* _Paolo Xausa_, Jan 15 2024 *)
%o (SageMath)
%o def A369119(n): return (n+1)^is_prime(n+1)*factorial(n)
%Y Cf. A089026, A000142, A347425, A000367/A002445 (Bernoulli(2n)).
%K nonn
%O 0,2
%A _Peter Luschny_, Jan 14 2024