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A088466
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a(n)=(1/2)*4^n*(2*GAMMA(n + 1/2)^2*hypergeom([n + 1/2, n + 1/2], [1/2, 1/2, 3/2], 1/4) + Pi*n!^2*hypergeom([n + 1, n + 1], [1, 3/2, 2], 1/4))/exp(1)/Pi.
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1
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2, 43, 2215, 204236, 29238991, 5968183657, 1640535644378, 582894501073075, 259553822858233471, 141383455055328055916, 92397970113863259277807, 1298681895041458302600993, 64098926090734144410361983410
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