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

1,1

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).

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

Mathematica

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

Crossrefs

Equals the fifth row of the ED3 array A167572.

Sequence in context: A237379 A237144 A187310 * A157505 A290723 A187531

Adjacent sequences: A167572 A167573 A167574 * A167576 A167577 A167578

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Status

approved