A061169 Third column of Lucas bisection triangle (even part).

1, 39, 315, 1687, 7470, 29634, 109421, 384105, 1298613, 4264835, 13686456, 43102644, 133636825, 408900987, 1237114335, 3706490479, 11010661266, 32463981270, 95081107013, 276820695645, 801633669561

Offset

0,2

Comments

Numerator of g.f. is row polynomial Sum_{m=0..4} A061186(3,m)*x^m.

Links

Michael De Vlieger, Table of n, a(n) for n = 0..2374

Geoffrey B. Campbell, Vector Partition Identities for 2D, 3D and nD Lattices, arXiv:2302.01091 [math.CO], 2023.

Formula

a(n) = A060923(n+2, 2).

G.f.: (1+x)*(1+29*x-35*x^2+12*x^3)/(1-3*x+x^2)^3.

Mathematica

CoefficientList[Series[(1 + x) (1 + 29 x - 35 x^2 + 12 x^3)/(1 - 3 x + x^2)^3, {x, 0, 20}], x] (* Michael De Vlieger, Feb 06 2023 *)

Crossrefs

A002878(n)=A060923(n, 0), A060934.

Sequence in context: A190537 A187095 A232874 * A233369 A238102 A266172

Adjacent sequences: A061166 A061167 A061168 * A061170 A061171 A061172

Keyword

nonn,easy

Author

Wolfdieter Lang, Apr 20 2001

Status

approved