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A095694
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T(n,3) diagonal of triangle in A095693.
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0
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1, 22, 130, 485, 1400, 3416, 7392, 14610, 26895, 46750, 77506, 123487, 190190, 284480, 414800, 591396, 826557, 1134870, 1533490, 2042425, 2684836, 3487352, 4480400, 5698550, 7180875, 8971326, 11119122, 13679155, 16712410, 20286400, 24475616, 29361992, 35035385, 41594070, 49145250
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OFFSET
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2,2
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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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FORMULA
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a(n) = (n + 1)*n*(n - 1)*(n^3 + 3*n^2 + 2*n - 16)/48. - corrected by Eric Rowland, Aug 15 2017
G.f.: x^2*(2*x^3-3*x^2+15*x+1)/(1-x)^7. - Colin Barker, Nov 24 2012
a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7). - Wesley Ivan Hurt, Apr 12 2023
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MATHEMATICA
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LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 22, 130, 485, 1400, 3416, 7392}, 30] (* Harvey P. Dale, Jul 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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