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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, 1698227, 1866801, 2046183, 2236709

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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

E.g.f.: 15 + exp(x)*(-15 + 182*x + 196*x^2 + 56*x^3). - Elmo R. Oliveira, Nov 17 2025

MATHEMATICA