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A199413
9*6^n+1.
1
10, 55, 325, 1945, 11665, 69985, 419905, 2519425, 15116545, 90699265, 544195585, 3265173505, 19591041025, 117546246145, 705277476865, 4231664861185, 25389989167105, 152339935002625, 914039610015745, 5484237660094465, 32905425960566785
OFFSET
0,1
FORMULA
a(n) = 6*a(n-1)-5.
a(n) = 7*a(n-1)-6*a(n-2).
G.f.: 5*(2-3*x)/((1-x)*(1-6*x)).
MATHEMATICA
NestList[6#-5&, 10, 20] (* or *) LinearRecurrence[{7, -6}, {10, 55}, 30] (* Harvey P. Dale, Sep 28 2012 *)
PROG
(Magma) [9*6^n+1: n in [0..30]];
CROSSREFS
Sequence in context: A357668 A316109 A188168 * A054629 A290359 A030114
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Nov 06 2011
STATUS
approved