A321573 Row sums of A321624.

1, 2, 8, 22, 68, 202, 608, 1822, 5468, 16402, 49208, 147622, 442868, 1328602, 3985808, 11957422, 35872268, 107616802, 322850408, 968551222, 2905653668, 8716961002, 26150883008, 78452649022, 235357947068, 706073841202, 2118221523608, 6354664570822, 19063993712468

Offset

0,2

Links

Table of n, a(n) for n=0..28.

Index entries for linear recurrences with constant coefficients, signature (2, 3).

Formula

From Philippe Deléham, Feb 05 2020: (Start)

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

a(0)=1, a(1)=2, a(2)=8, a(n)=2*a(n-1)+3*a(n-2) , for n>2.

a(0)=1, a(n) = (5*3^(n-1)-(-1)^(n-1))/2, for n>0 . (End)

Mathematica

(* The function RiordanSquare is defined in A321620. *)
Lucas = 1 + x*(1 + 2x)/(1 - x - x^2);
M = RiordanSquare[Lucas, 29]; Map[Total, M]

Crossrefs

Cf. A321624, A321620.

Sequence in context: A265951 A178159 A262720 * A137103 A089586 A339302

Adjacent sequences: A321570 A321571 A321572 * A321574 A321575 A321576

Keyword

nonn

Author

Peter Luschny, Nov 22 2018

Status

approved