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Search: id:A069993
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| A069993 |
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2^(2n+1)*sum(k=1,2n,C(2n+1,k)*B(k)/2^k) where C(n,k) are the binomial coefficients, B(k) the Bernoulli numbers. |
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+0
1
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| 5, 27, 121, 503, 2037, 8179, 32753, 131055, 524269, 2097131, 8388585, 33554407, 134217701, 536870883, 2147483617, 8589934559, 34359738333, 137438953435, 549755813849, 2199023255511, 8796093022165, 35184372088787
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n)=2(4^n-n)-1. a(n)=2*A024037(n)-1 [From Rolf Pleisch (r_pleisch(AT)gmx.ch), Aug 09 2009]
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PROGRAM
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(PARI) for(n=1, 30, print1(-2*4^n*sum(i=1, 2*n+1, binomial(2*n+1, i)*bernfrac(i)/2^i), ", "))
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CROSSREFS
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A024037 [From Rolf Pleisch (r_pleisch(AT)gmx.ch), Aug 09 2009]
Sequence in context: A135713 A085740 A129868 this_sequence A009027 A037498 A084177
Adjacent sequences: A069990 A069991 A069992 this_sequence A069994 A069995 A069996
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KEYWORD
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easy,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 01 2002
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