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A062396 a(n) = 9^n + 1. 46
2, 10, 82, 730, 6562, 59050, 531442, 4782970, 43046722, 387420490, 3486784402, 31381059610, 282429536482, 2541865828330, 22876792454962, 205891132094650, 1853020188851842, 16677181699666570, 150094635296999122 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
a(n) = 9*a(n-1) - 8 = A001019(n) + 1 = 10*a(n-1) - 9*a(n-2).
From Mohammad K. Azarian, Jan 02 2009: (Start)
G.f.: 1/(1-x) + 1/(1-9*x).
E.g.f.: e^x + e^(9*x). (End)
MATHEMATICA
Table[9^n + 1, {n, 0, 20}]
LinearRecurrence[{10, -9}, {2, 10}, 20] (* Harvey P. Dale, May 30 2013 *)
PROG
(Magma) [9^n + 1: n in [0..35]]; // Vincenzo Librandi, Apr 30 2011
(PARI) a(n)=9^n+1 \\ Charles R Greathouse IV, Sep 24 2015
CROSSREFS
Sequence in context: A367432 A231919 A174962 * A218294 A286797 A321089
KEYWORD
easy,nonn
AUTHOR
Henry Bottomley, Jun 22 2001
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)