A096051 Decimal expansion of lim_{n->oo} B(2n,8)/(B(2n)*64^n) (see comment for B(n,k) definition).

1, 0, 4, 1, 8, 4, 1, 8, 8, 8, 4, 0, 1, 9, 2, 1, 7, 8, 2, 2, 2, 8, 4, 5, 0, 8, 0, 5, 4, 1, 3, 5, 9, 2, 9, 9, 4, 3, 8, 7, 8, 8, 0, 5, 8, 0, 3, 3, 0, 2, 1, 7, 9, 9, 4, 7, 7, 3, 0, 9, 4, 3, 0, 4, 4, 2, 9, 2, 3, 3, 3, 9, 4, 3, 9, 5, 5, 6, 3, 7, 8, 2, 9, 3, 9, 2, 5, 8, 0, 3, 3, 2, 6, 2, 3, 1, 1, 3, 1, 6, 2, 3, 3, 2, 1

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 (16-sqrt(2))/14.

Example

1.04184188840192178222845080541359299438788058033021...

Mathematica

RealDigits[(16 - Sqrt[2])/14, 10, 100][[1]] (* Amiram Eldar, May 08 2022 *)

Prog

(PARI) (16-sqrt(2))/14

Crossrefs

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

Sequence in context: A105534 A021243 A340531 * A350637 A060440 A340527

Adjacent sequences: A096048 A096049 A096050 * A096052 A096053 A096054

Keyword

cons,nonn

Author

Benoit Cloitre, Jun 17 2004

Status

approved