A167575 The fifth row of the ED3 array A167572.

1473, 8169, 26529, 66345, 140865, 266793, 464289, 756969, 1171905, 1739625, 2494113, 3472809, 4716609, 6269865, 8180385, 10499433, 13281729, 16585449, 20472225, 25007145, 30258753, 36299049, 43203489, 51050985, 59923905

Offset: 1

Author

Johannes W. Meijer, Nov 10 2009

Keywords

• easy
• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1000
• Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Crossrefs

Equals the fifth row of the ED3 array A167572.

Programs

Mathematica

LinearRecurrence[{5, -10, 10, -5, 1}, {1473, 8169, 26529, 66345, 140865}, 100] (* G. C. Greubel, Jun 16 2016 *)

Formula

a(n) = 144*n^4 + 192*n^3 + 1080*n^2 - 48*n + 105.

G.f.: (105*z^4 + 660*z^3 + 414*z^2 + 804*z + 1473)/(1-z)^5.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). - G. C. Greubel, Jun 16 2016