A095696 T(n,5) diagonal of triangle in A095693.

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

Offset: 5

Author

Nicholas S. Horne (nickhorne(AT)cox.net), Jul 06 2004

Keywords

• easy
• nonn

References

• Nicholas S. Horne, "Analysis of Viable Network Configurations from a Combinatorial, Graphical and Algebraic Perspective." Diss. Providence College, 2004.

Links

• T. D. Noe, Table of n, a(n) for n = 5..1000
• Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Programs

Mathematica

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 *)

Formula

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]