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A199207
a(n) = 7*4^n+1.
3
8, 29, 113, 449, 1793, 7169, 28673, 114689, 458753, 1835009, 7340033, 29360129, 117440513, 469762049, 1879048193, 7516192769, 30064771073, 120259084289, 481036337153, 1924145348609, 7696581394433, 30786325577729
OFFSET
0,1
FORMULA
a(n) = 4*a(n-1)-3.
a(n) = 5*a(n-1)-4*a(n-2).
G.f.: (8-11*x)/((1-x)*(1-4*x)). - Bruno Berselli, Nov 04 2011
MATHEMATICA
7*4^Range[0, 30]+1 (* or *) LinearRecurrence[{5, -4}, {8, 29}, 30] (* Harvey P. Dale, Jan 21 2023 *)
PROG
(Magma) [7*4^n+1: n in [0..30]];
CROSSREFS
Sequence in context: A294838 A116952 A261478 * A088131 A072264 A110527
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Nov 04 2011
STATUS
approved