OFFSET
1,1
COMMENTS
109/110 = 0,9909090909....
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..100
Index entries for linear recurrences with constant coefficients, signature (9, 10).
FORMULA
a(1)=10, a(2)=99, a(n)=9*a(n-1)+10*a(n-2). - Harvey P. Dale, Jul 21 2014
MATHEMATICA
nxt[{a_, i_}]:={10a+i, -i}; Transpose[NestList[nxt, {10, -1}, 30]][[1]] (* or *) LinearRecurrence[{9, 10}, {10, 99}, 30] (* Harvey P. Dale, Jul 21 2014 *)
PROG
(Magma) [(1/11)*((-1)^(n-1)+109*10^(n-1)): n in [1..20]]; // Vincenzo Librandi, Jul 21 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mark Dols, Jul 19 2010
STATUS
approved