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A306149
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a(n) = denominator(n!*[z^n](z*(exp(z)+2*exp(-(1/2)*z)*cos((1/2)*z* 3^(1/2)))/(1-exp(-z)))).
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1
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1, 2, 2, 1, 10, 1, 14, 1, 10, 1, 22, 1, 910, 1, 10, 1, 170, 1, 1330, 1, 110, 1, 230, 1, 910, 1, 2, 1, 290, 1, 4774, 1, 1870, 1, 2, 1, 639730, 1, 10, 1, 4510, 1, 33110, 1, 230, 1, 470, 1, 15470, 1, 374, 1, 5830, 1, 2926, 1, 290, 1, 118, 1, 18928910, 1, 110, 1
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OFFSET
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0,2
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LINKS
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FORMULA
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a(2*n - 3) = 1 for n >= 3.
2 divides a(2*n) for n >= 1.
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MAPLE
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gf := z*(exp(z)+2*exp(-(1/2)*z)*cos((1/2)*z*sqrt(3)))/(1-exp(-z));
ser := series(gf, z, 70): seq(denom(n!*coeff(ser, z, n)), n=0..63);
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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