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A274704
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Exponential generating function 1/M_{4}(z^4) where M_{n}(z) is the n-th Mittag-Leffler function, nonzero coefficients only.
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3
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1, -5, 621, -437593, 1026405753, -6054175060941, 75477454065058725, -1766732850877953050849, 71248914440011028226682737, -4637564239713542128355021380117, 462852368857623061805761137170608989, -67965094887205237792816627191801312013545
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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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E.g.f. (nonzero coefficients): 2*z/(cosh(z)+cos(z)).
For n >= 1, a(n) = - Sum_{k=0..n-1} a(k)*binomial(4*k+1,4*n+1). - Robert Israel, Jul 04 2016
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MAPLE
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s := series(2*z/(cosh(z)+cos(z)), z, 60):
seq((4*n+1)!*coeff(s, z, 4*n+1), n=0..11);
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MATHEMATICA
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c = CoefficientList[Series[1/MittagLefflerE[4, z^4], {z, 0, 15*4}], z];
Table[Factorial[4*n+1]*c[[4*n+1]], {n, 0, 12}]
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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