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A383953
a(0) = 4, a(n) = 2*a(n-1) + (-1)^n.
0
4, 7, 15, 29, 59, 117, 235, 469, 939, 1877, 3755, 7509, 15019, 30037, 60075, 120149, 240299, 480597, 961195, 1922389, 3844779, 7689557, 15379115, 30758229, 61516459, 123032917, 246065835, 492131669, 984263339, 1968526677, 3937053355, 7874106709, 15748213419, 31496426837
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OFFSET
0,1
LINKS
Table of n, a(n) for n=0..33.
Index entries for linear recurrences with constant coefficients
, signature (1,2).
FORMULA
a(n) = (11*2^n + (-1)^n)/3.
a(n) =
A340627
(n+1)/2.
a(n) = 2*
A052997
(n) + 1 for n >= 1.
a(n) = 11*
A001045
(n) + (-1)^n*4.
a(n) = a(n-4) + 55*2^(n-4) for n >= 4.
G.f.: (3*x + 4)/((x + 1)*(1 - 2*x)).
E.g.f: (11*exp(2*x) + exp(-x))/3.
MATHEMATICA
a[n_] := (11*2^n + (-1)^n)/3; Array[a, 34, 0] (*
Amiram Eldar
, Aug 20 2025 *)
CROSSREFS
Cf.
A001045
,
A005015
,
A052997
,
A340627
.
Bisections give
A199210
and
A072261
.
Sequence in context:
A301204
A116969
A131090
*
A178615
A131935
A119749
Adjacent sequences:
A383950
A383951
A383952
*
A383954
A383955
A383956
KEYWORD
nonn
,
easy
AUTHOR
Paul Curtz
, Aug 19 2025
STATUS
approved