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A199211
a(n) = 11*4^n+1.
1
12, 45, 177, 705, 2817, 11265, 45057, 180225, 720897, 2883585, 11534337, 46137345, 184549377, 738197505, 2952790017, 11811160065, 47244640257, 188978561025, 755914244097, 3023656976385, 12094627905537, 48378511622145
OFFSET
0,1
FORMULA
a(n) = 4*a(n-1)-3.
a(n) = 5*a(n-1)-4*a(n-2).
G.f.: 3*(4-5*x)/((1-x)*(1-4*x)). - Bruno Berselli, Nov 04 2011
MATHEMATICA
11*4^Range[0, 30]+1 (* or *) LinearRecurrence[{5, -4}, {12, 45}, 30] (* Harvey P. Dale, Oct 10 2012 *)
PROG
(Magma) [11*4^n+1: n in [0..30]];
CROSSREFS
Sequence in context: A015237 A024223 A251720 * A331764 A372500 A249923
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Nov 04 2011
STATUS
approved