A095694 T(n,3) diagonal of triangle in A095693.

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

Offset

2,2

References

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

Links

Table of n, a(n) for n=2..36.

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

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

Mathematica

LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 22, 130, 485, 1400, 3416, 7392}, 30] (* Harvey P. Dale, Jul 10 2021 *)

Crossrefs

Cf. A095693.

Sequence in context: A215626 A125247 A249302 * A233060 A299520 A003778

Adjacent sequences: A095691 A095692 A095693 * A095695 A095696 A095697

Keyword

easy,nonn

Author

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

Status

approved