cp's OEIS Frontend

A096052 Decimal expansion of lim_{n->oo} B(2n,5)/(B(2n)*25^n) (see comment for B(n,k) definition).

%I A096052 #15 Apr 29 2023 06:55:08
%S A096052 1,1,7,2,7,4,5,7,5,1,4,0,6,2,6,3,1,4,3,9,7,4,4,2,6,6,4,5,7,0,4,2,9,5,
%T A096052 2,3,5,2,8,4,9,6,1,3,5,2,5,2,4,2,7,9,6,4,2,2,3,3,0,6,8,9,2,2,1,6,1,8,
%U A096052 4,2,4,4,2,1,4,7,6,3,7,1,9,3,7,8,6,5,9,9,0,9,9,4,7,6,3,2,6,1,0,7,8,1,4,4,0
%N A096052 Decimal expansion of lim_{n->oo} B(2n,5)/(B(2n)*25^n) (see comment for B(n,k) definition).
%C A096052 B(n,p) = Sum_{i=0..n} (p^i * Sum_{j=0..i} binomial(n,j)*B(j)) where B(k) is the k-th Bernoulli number.
%F A096052 Equals (21-sqrt(5))/16.
%e A096052 1.17274575140626314397442664570429523528496135252427...
%t A096052 RealDigits[(21 - Sqrt[5])/16, 10, 100][[1]] (* _Amiram Eldar_, May 08 2022 *)
%o A096052 (PARI) (21-sqrt(5))/16
%Y A096052 Cf. A027641, A027642, A096045, A096046, A096047, A096048, A096049, A096050, A096051.
%K A096052 cons,nonn
%O A096052 1,3
%A A096052 _Benoit Cloitre_, Jun 17 2004