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A096052
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Decimal expansion of limit n-->infty B(2n,5)/(B(2n)*25^n) ( see comment for B(n,k) definition ).
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0
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| 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.
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FORMULA
| limit n-->infty B(2n, 5)/(B(2n)*25^n) =(21-sqrt(5))/16 = 1.17274575140626314397...
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PROG
| (PARI) (21-sqrt(5))/16
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CROSSREFS
| Cf. A096045, A096046, A096047, A096048, A096049, A096050, A096051.
Sequence in context: A195404 A021583 A177437 * A003677 A010506 A197845
Adjacent sequences: A096049 A096050 A096051 * A096053 A096054 A096055
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KEYWORD
| cons,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 17 2004
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