OFFSET
1,3
COMMENTS
a(n)/a(n+1) converges to 49 - sqrt(2399). - corrected by Mark Dols, Jun 20 2010
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..200
Index entries for linear recurrences with constant coefficients, signature (98,-2).
FORMULA
G.f.: x^2/(1 - 98x + 2x^2). - Philippe Deléham, Nov 29 2009
E.g.f.: (1/(2*b))*exp(49*x)*( 49*sinh(b*x) - b*cosh(b*x) ) - (1/2), where b = sqrt(2399). - G. C. Greubel, Jul 25 2016
MATHEMATICA
LinearRecurrence[{98, -2}, {0, 1}, 25] (* G. C. Greubel, Jul 25 2016 *)
PROG
(Magma) [n le 2 select n-1 else 98*Self(n-1)-2*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Jul 25 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mark Dols, Nov 28 2009
EXTENSIONS
Definition adapted to offset by Georg Fischer, Jun 19 2021
STATUS
approved