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A096052 Decimal expansion of limit n-->infty B(2n,5)/(B(2n)*25^n) ( see comment for B(n,k) definition ). +0
1
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 (list; cons; graph; listen)
OFFSET

1,3

COMMENT

B(n,p)=sum(i=0,n,p^i*sum(j=0,i,binomial(n,j)*B(j))) where B(k)=k-th Bernoulli number.

FORMULA

limit n-->infty B(2n, 5)/(B(2n)*25^n) =(21-sqrt(5))/16 = 1.17274575140626314397...

PROGRAM

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

CROSSREFS

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

Sequence in context: A095398 A073330 A021583 this_sequence A003677 A010506 A082633

Adjacent sequences: A096049 A096050 A096051 this_sequence A096053 A096054 A096055

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 17 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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