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A155619
8^n+4^n-1^n
2
1, 11, 79, 575, 4351, 33791, 266239, 2113535, 16842751, 134479871, 1074790399, 8594128895, 68736253951, 549822922751, 4398314946559, 35185445830655, 281479271677951, 2251816993554431, 18014467228958719, 144115462953762815
OFFSET
0,2
FORMULA
G.f.: 1/(1-8*x)+1/(1-4*x)-1/(1-x). E.g.f.: e^(8*x)+e^(4*x)-e^x.
a(n)=12*a(n-1)-32*a(n-2)-21 with a(0)=1, a(1)=11 [From Vincenzo Librandi, Jul 21 2010]
a(0)=1, a(1)=11, a(2)=79, a(n)=13*a(n-1)-44*a(n-2)+32*a(n-3). - Harvey P. Dale, Jun 19 2013
MATHEMATICA
Table[8^n+4^n-1, {n, 0, 30}] (* or *) LinearRecurrence[{13, -44, 32}, {1, 11, 79}, 30] (* Harvey P. Dale, Jun 19 2013 *)
KEYWORD
nonn
AUTHOR
Mohammad K. Azarian, Jan 27 2009
STATUS
approved