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A025166
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E.g.f.: -exp(-x/(1-2*x))/(1-2*x).
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4
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-1, -1, -1, 7, 127, 1711, 23231, 334391, 5144063, 84149983, 1446872959, 25661798119, 454494403199, 7489030040207, 89680375568447, -759618144120809, -127049044802971649, -7480338932613448769, -369274690558092738817, -17262533154073740329017
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OFFSET
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0,4
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COMMENTS
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Polynomials in A021009 evaluated at 2.
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LINKS
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FORMULA
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Conjecture: a(n) + (-4*n+3)*a(n-1) + 4*(n-1)^2*a(n-2) = 0. - R. J. Mathar, Feb 05 2013
Sum_{n>=0} a(n) * x^n / (n!)^2 = -exp(2*x) * BesselJ(0,2*sqrt(x)). - Ilya Gutkovskiy, Jul 17 2020
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MAPLE
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a := n -> -(-2)^n*KummerU(-n, 1, 1/2):
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MATHEMATICA
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Table[ -n! 2^n LaguerreL[ n, 1/2 ], {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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EXTENSIONS
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STATUS
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approved
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