A096050 -id:A096050 - cp's OEIS frontend

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

Benoit Cloitre, Jun 17 2004

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.

			1.04184188840192178222845080541359299438788058033021...

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

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

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

Equals (16-sqrt(2))/14.

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

Original entry on oeis.org

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

Benoit Cloitre, Jun 17 2004

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.

			1.17274575140626314397442664570429523528496135252427...

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

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

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

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

cp's OEIS Frontend

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

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