%I #15 Mar 18 2024 16:06:18

%S 22,822,8547,52892,238392,863289,2660889,7245414,17879004,40719679,

%T 86762676,174750576,335401976,617395086,1095642486,1882507308,

%U 3142740258,5113062108,8127478513,12649594188,19313392560,28974165935,42771520935,62206645410,89236307160

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

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

%H T. D. Noe, <a href="/A095696/b095696.txt">Table of n, a(n) for n = 5..1000</a>

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

%F a(n) = ((n)(n-1)(n-2)(n-3)(n-4)(n^5+5n^4+45n^3-1605n^2+9234n-17216))/3840.

%F 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]

%t 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 *)

%K easy,nonn

%O 5,1

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