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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
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..28.
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FORMULA
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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)
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MATHEMATICA
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(* The function RiordanSquare is defined in A321620. *)
Lucas = 1 + x*(1 + 2x)/(1 - x - x^2);
M = RiordanSquare[Lucas, 29]; Map[Total, M]
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CROSSREFS
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Cf. A321624, A321620.
Sequence in context: A265951 A178159 A262720 * A137103 A089586 A339302
Adjacent sequences: A321570 A321571 A321572 * A321574 A321575 A321576
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KEYWORD
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nonn
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AUTHOR
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Peter Luschny, Nov 22 2018
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STATUS
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approved
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