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

1,1

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).

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

Mathematica

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

Crossrefs

Equals the fourth row of the ED3 array A167572.

Sequence in context: A362542 A158218 A142287 * A250586 A201853 A142843

Adjacent sequences: A167571 A167572 A167573 * A167575 A167576 A167577

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Status

approved