A167574 The fourth row of the ED3 array A167572.

167, 741, 2043, 4409, 8175, 13677, 21251, 31233, 43959, 59765, 78987, 101961, 129023, 160509, 196755, 238097, 284871, 337413, 396059, 461145, 533007, 611981, 698403, 792609, 894935, 1005717, 1125291, 1253993, 1392159, 1540125

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 (4,-6,4,-1).

Crossrefs

Equals the fourth row of the ED3 array A167572.

Programs

Mathematica

LinearRecurrence[{4,-6,4,-1},{167, 741, 2043, 4409},100] (* G. C. Greubel, Jun 16 2016 *)

Formula

a(n) = 56*n^3 + 28*n^2 + 98*n - 15.

G.f.: (15*z^3 + 81*z^2 + 73*z + 167)/(1-z)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - G. C. Greubel, Jun 16 2016