A026063 dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).

71, 119, 180, 255, 345, 451, 574, 715, 875, 1055, 1256, 1479, 1725, 1995, 2290, 2611, 2959, 3335, 3740, 4175, 4641, 5139, 5670, 6235, 6835, 7471, 8144, 8855, 9605, 10395, 11226, 12099, 13015, 13975, 14980, 16031, 17129, 18275, 19470, 20715, 22011, 23359, 24760, 26215, 27725, 29291

Offset: 6

Author

Clark Kimberling

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 6..1000
• Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Crossrefs

Column 5 of triangle A094415.

Programs

Magma

[n*(n^2+18*n-73)/6: n in [6..60]]; // Vincenzo Librandi, Oct 17 2017

Mathematica

CoefficientList[Series[(71 - 165 x + 130 x^2 - 35 x^3)/(1 - x)^4, {x, 0, 60}], x] (* Vincenzo Librandi, Oct 17 2013 *)

Formula

a(n) = n(n^2+18n-73)/6. - Ralf Stephan, Apr 30 2004

G.f.: x^6*(71-165*x+130*x^2-35*x^3)/(1-x)^4. - Colin Barker, Sep 17 2012