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%I #10 Aug 13 2021 06:36:44
%S 0,1,809,17696929,29148363745769,13802156299837263870439,
%T 51192911535225069982129975520643227,
%U 15505058537999075182938597423297191148526445182931,25740819838475027138304706528711851561870640774224535090837
%N a(n) = numerator(Sum_{k=1..2*n} Bernoulli(1 + k) / ((1 + k) * k^(1 + k))).
%t r[n_] := Sum[BernoulliB[1 + k] / ((1 + k) * k^(1 + k)), {k, 1, 2*n}];
%t Table[r[n], {n, 0, 10}] // Numerator
%o (PARI) a(n) = numerator(sum(k=1, 2*n, bernfrac(1+k)/((1+k)*k^(1+k)))); \\ _Michel Marcus_, Aug 12 2021
%Y Cf. A346717 (denominator), A346718 (rational limit).
%K nonn,frac
%O 0,3
%A _Peter Luschny_, Aug 11 2021