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A022029
a(n) = 3*a(n-1) + a(n-2) - a(n-3) - a(n-5).
2
4, 13, 42, 135, 433, 1388, 4449, 14260, 45706, 146496, 469546, 1504979, 4823727, 15460908, 49554976, 158832563, 509086778, 1631714194, 5229935889, 16762880107, 53728029453, 172207945799, 551957272549, 1769121798104, 5670351840955, 18174492018967
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OFFSET
0,1
COMMENTS
Sequence agrees with
A010919
for n <= 35 only.
a(36) = 6665569973023362368 and
A010919
(36) = 6665569973023362367. -
Zhuorui He
, Nov 08 2025
LINKS
Zhuorui He,
Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients
, signature (3,1,-1,0,-1).
FORMULA
G.f.: (4+x-x^2-x^4)/(1-3*x-x^2+x^3+x^5). -
R. J. Mathar
, Oct 25 2008
CROSSREFS
Cf.
A010919
.
Sequence in context:
A192910
A289807
A010919
*
A389173
A277667
A274952
Adjacent sequences:
A022026
A022027
A022028
*
A022030
A022031
A022032
KEYWORD
nonn
AUTHOR
R. K. Guy
EXTENSIONS
More terms from
Zhuorui He
, Nov 08 2025
STATUS
approved