OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (101,-100).
FORMULA
a(n) = (89+10^(1+2*n))/99. a(n) = 101*a(n-1)-100*a(n-2). G.f.: -(90*x-1) / ((x-1)*(100*x-1)). - Colin Barker, Sep 02 2013
EXAMPLE
A007583(2) = 11, which becomes 1011 when written in binary.
MATHEMATICA
Table[FromDigits[IntegerDigits[(2^(2n + 1) + 1)/3, 2]], {n, 0, 14}]
LinearRecurrence[{101, -100}, {1, 11}, 20] (* Harvey P. Dale, Jul 21 2024 *)
CROSSREFS
KEYWORD
easy,nonn,less,base
AUTHOR
Artur Jasinski, Feb 09 2007
EXTENSIONS
Edited and extended by Stefan Steinerberger, Jun 11 2007
More terms from Colin Barker, Sep 02 2013
STATUS
approved