OFFSET
0,3
COMMENTS
Related to Motzkin numbers.
LINKS
FORMULA
a(n+1)^2 - a(n)^2 = a(2*n+1). - Richard Choulet, Dec 10 2009
G.f.: x/(1-99*x+x^2). - Philippe Deléham, Dec 09 2009
E.g.f.: 2*exp(99*x/2)*sinh(sqrt(9797)*x/2)/sqrt(9797). - Stefano Spezia, Aug 05 2024
MAPLE
a(0):=0: a(1):=1: for n from 0 to 50 do a(n+2):=99*a(n+1)-a(n): od: seq(a(n), n=0..30);
taylor((z/(1-99*z+z^2)), z=0, 30); # Richard Choulet, Dec 10 2009
MATHEMATICA
LinearRecurrence[{99, -1}, {0, 1}, 30] (* Harvey P. Dale, Dec 18 2015 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mark Dols, Dec 08 2009
EXTENSIONS
Offset adapted to definition by Georg Fischer, Jun 18 2021
a(14)-a(16) from Stefano Spezia, Aug 05 2024
STATUS
approved