login
A199021
(5*11^n-1)/2.
1
2, 27, 302, 3327, 36602, 402627, 4428902, 48717927, 535897202, 5894869227, 64843561502, 713279176527, 7846070941802, 86306780359827, 949374583958102, 10443120423539127, 114874324658930402, 1263617571248234427
OFFSET
0,1
FORMULA
a(n) = 11*a(n-1)+5.
a(n) = 12*a(n-1)-11*a(n-2), n>1.
G.f.: (2 + 3*x)/(1 - 12*x + 11*x^2). - Vincenzo Librandi, Jan 04 2013
MATHEMATICA
CoefficientList[Series[(2 + 3*x)/(1 - 12*x + 11*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)
LinearRecurrence[{12, -11}, {2, 27}, 20] (* Harvey P. Dale, Aug 13 2018 *)
PROG
(Magma) [(5*11^n-1)/2 : n in [0..20]]
CROSSREFS
Sequence in context: A011543 A221186 A220530 * A091709 A083384 A121971
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Nov 02 2011
STATUS
approved