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

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, 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, 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

Offset

1,3

Comments

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.

Links

Table of n, a(n) for n=1..105.

Formula

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

Example

1.17274575140626314397442664570429523528496135252427...

Mathematica

RealDigits[(21 - Sqrt[5])/16, 10, 100][[1]] (* Amiram Eldar, May 08 2022 *)

Prog

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

Crossrefs

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

Sequence in context: A352301 A177437 A242021 * A003677 A301864 A295421

Adjacent sequences: A096049 A096050 A096051 * A096053 A096054 A096055

Keyword

cons,nonn

Author

Benoit Cloitre, Jun 17 2004

Status

approved