OFFSET
1,1
LINKS
B. Berselli, Table of n, a(n) for n = 1..1000.
B. Berselli, Examples with a(n)*A086574(n-1)+11 = A163449(n).
Index entries for linear recurrences with constant coefficients, signature (11, -10).
FORMULA
a(n)=10*a(n-1)-33 (with a(1)=7)
Contribution from Bruno Berselli, Jun 09 2010: (Start)
G.f.: x*(7-40*x)/((1-x)*(1-10*x)).
a(n)-11*a(n-1)+10*a(n-2) = 0 for n>2. (End)
EXAMPLE
For n=2, a(2)=10*7-33=37; n=3, a(3)=10*37-33=337; n=4, a(4)=10*337-33=3337
MATHEMATICA
NestList[10#-33&, 7, 20] (* Harvey P. Dale, Aug 01 2022 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Feb 24 2010
EXTENSIONS
I reduced the fraction in the definition to "(10^n+11)/3". The factor 3 was simply irrelevant. - Ivan Panchenko, Jun 05 2010
STATUS
approved