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A096052 Decimal expansion of lim_{n->oo} B(2n,5)/(B(2n)*25^n) (see comment for B(n,k) definition). 0

%I #15 Apr 29 2023 06:55:08

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

%C 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 Equals (21-sqrt(5))/16.

%e 1.17274575140626314397442664570429523528496135252427...

%t RealDigits[(21 - Sqrt[5])/16, 10, 100][[1]] (* _Amiram Eldar_, May 08 2022 *)

%o (PARI) (21-sqrt(5))/16

%Y Cf. A027641, A027642, A096045, A096046, A096047, A096048, A096049, A096050, A096051.

%K cons,nonn

%O 1,3

%A _Benoit Cloitre_, Jun 17 2004

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)