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A096046
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a(n) = B(2n,3)/B(2n) (see comment).
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11
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1, 15, 141, 1275, 11481, 103335, 930021, 8370195, 75331761, 677985855, 6101872701, 54916854315, 494251688841, 4448265199575, 40034386796181, 360309481165635, 3242785330490721, 29185067974416495, 262665611769748461
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OFFSET
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0,2
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COMMENTS
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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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LINKS
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FORMULA
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a(n) = (1/4)*(7*9^n - 3).
a(n) = 10*a(n-1) - 9*a(n-2); a(0)=1, a(1)=15.
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PROG
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(PARI) a(n)=sum(i=0, 2*n, 3^i*sum(j=0, i, binomial(2*n, j)*bernfrac(j)))/bernfrac(2*n)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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