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A080094
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Let sum(k>=0, k^n/(2*k+1)!) = (x(n)*e + y(n)/e)/z(n), where x(n) and z(n) are >0, then a(n)=y(n).
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3
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1, -3, 3, -1, 3, -5, -2, -5, 55, 106, 201, -2381, -7675, -35183, 145359, 910719, 8117231, 521487, -139498274, -2261959961, -7554900397, 17363594398, 690775844605, 4901767330647, 5460910088617, -179314430713387, -2668801066419061, -9075259309421889, -20645060784367893
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