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A086229
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Determinant of n X n matrix M(i,j)=binomial(2i-1, j) (i,j) ranging from 1 to n.
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1
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1, 1, 3, 20, 280, 8064, 473088, 56229888, 13495173120, 6525665935360, 6348167821918208, 12410090985684467712, 48713743815806763925504, 383714412826047125074739200, 6062249191894029093752222515200
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n) = 2^(n*(n-3)/2)*binomial(2*n, n).
a(n) = 2^C(n,2)*Hypergeometric2F1((1-n)/2,-n/2;1;1).
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MAPLE
| f[n_] := 2^(n (n - 3)/2) Binomial[2 n, n]; (* Or *)
f[n_] := 2^(n (n - 1)/2) Hypergeometric2F1[(1 - n)/2, -n/2, 1, 1]; Array[f, 15, 0] (* RGWv *)
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CROSSREFS
| Sequence in context: A193194 A166232 A136551 * A130531 A163138 A201824
Adjacent sequences: A086226 A086227 A086228 * A086230 A086231 A086232
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 28 2003
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