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A095696
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T(n,5) diagonal of triangle in A095693.
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1
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22, 822, 8547, 52892, 238392, 863289, 2660889, 7245414, 17879004, 40719679, 86762676, 174750576, 335401976, 617395086, 1095642486, 1882507308, 3142740258, 5113062108, 8127478513, 12649594188, 19313392560, 28974165935, 42771520935, 62206645410, 89236307160
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OFFSET
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5,1
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REFERENCES
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Nicholas S. Horne, "Analysis of Viable Network Configurations from a Combinatorial, Graphical and Algebraic Perspective." Diss. Providence College, 2004.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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FORMULA
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a(n) = ((n)(n-1)(n-2)(n-3)(n-4)(n^5+5n^4+45n^3-1605n^2+9234n-17216))/3840.
G.f.: x^5*(22+580*x+715*x^2+455*x^3-1705*x^4+878*x^5)/(1-x)^11. [Colin Barker, Jun 25 2012]
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MATHEMATICA
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LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {22, 822, 8547, 52892, 238392, 863289, 2660889, 7245414, 17879004, 40719679, 86762676}, 30] (* Harvey P. Dale, Sep 10 2021 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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Nicholas S. Horne (nickhorne(AT)cox.net), Jul 06 2004
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STATUS
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approved
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