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A032115
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"BIJ" (reversible, indistinct, labeled) transform of 1,3,5,7...
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1
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1, 1, 4, 17, 120, 1169, 13980, 195649, 3130288, 56345057, 1126900980, 24791821361, 595003712424, 15470096522737, 433162702636300, 12994881079088609, 415836194530835040, 14138430614048390849, 508983502105742069988, 19341373080018198658897
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.: (1 + 2*(1-2*x)*exp(x) - (1-2*x)^2*exp(2*x))/(2*(1-2*x)*exp(x)). - Andrew Howroyd, Sep 12 2018
Conjecture: D-finite with recurrence a(n) +2*(-n-1)*a(n-1) +4*(n-1)*a(n-2) +2*a(n-3) +(-4*n+11)*a(n-4) +2*(n-4)*a(n-5)=0. - R. J. Mathar, May 08 2020
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PROG
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(PARI) seq(n)={my(p=1 + (2*x-1)*exp(x + O(x*x^n))); Vec(serlaplace((1-p^2/2)/(1-p)))} \\ Andrew Howroyd, Sep 12 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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a(0)=1 prepended and terms a(18) and beyond from Andrew Howroyd, Sep 12 2018
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STATUS
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approved
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