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A198846
a(n) = 9*6^n - 1.
1
8, 53, 323, 1943, 11663, 69983, 419903, 2519423, 15116543, 90699263, 544195583, 3265173503, 19591041023, 117546246143, 705277476863, 4231664861183, 25389989167103, 152339935002623, 914039610015743, 5484237660094463, 32905425960566783
OFFSET
0,1
FORMULA
a(n) = 6*a(n-1)+5. a(n) = 7*a(n-1)-6*a(n-2), n>1.
From Elmo R. Oliveira, Aug 11 2024
G.f.: (8-3*x)/((1-x)*(1-6*x)).
E.g.f.: exp(x)*(9*exp(5*x) - 1). (End)
PROG
(Magma) [9*6^n-1: n in [0..30]];
CROSSREFS
Sequence in context: A317426 A212754 A099622 * A291662 A110099 A297334
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Oct 31 2011
STATUS
approved