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

5,1

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).

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]

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 *)

Crossrefs

Sequence in context: A152957 A237605 A231159 * A345456 A322930 A200575

Adjacent sequences: A095693 A095694 A095695 * A095697 A095698 A095699

Keyword

easy,nonn

Author

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

Status

approved