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Search: id:A069852
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| A069852 |
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a(n)=sum(i=0,2n,B(i)*C(2n+1,i)*5^i) where B(i) are the Bernoulli numbers, C(2n,i) the binomial numbers. |
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+0
1
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| 6, -74, 1946, -88434, 6154786, -607884394, 80834386026, -13923204233954, 3015393801263666, -801997872697905114, 256982712667627683706, -97641716941862894337874, 43406301788286350509870146, -22319737637152541506923644234
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Related to those formula derived from Bernoulli polynomials : sum(k>0,sin(kx)/k^(2n+1))=(-1)^(n+1)/2*x^(2n+1)/(2n+1)!*sum(i=0,2n,(2Pi/x)^i*B(i)*C(2n+1,i))
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PROGRAM
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(PARI) for(n=1, 25, print1(sum(i=0, 2*n, binomial(2*n+1, i)*bernfrac(i)*5^i), ", "))
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CROSSREFS
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Sequence in context: A058793 A066171 A057783 this_sequence A049235 A129031 A139088
Adjacent sequences: A069849 A069850 A069851 this_sequence A069853 A069854 A069855
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KEYWORD
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easy,sign
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 01 2002
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