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A168522
a(n) = 98*a(n-1) - 2*a(n-2); a(1) = 0, a(2) = 1.
2
0, 1, 98, 9602, 940800, 92179196, 9031679608, 884920243192, 86704120473600, 8495233965926416, 832359520419841568, 81554242533212620832, 7990651049213997158400, 782920694337905296281536, 76710246743016291041273728, 7516038339426920711452262272
OFFSET
1,3
COMMENTS
a(n)/a(n+1) converges to 49 - sqrt(2399). - corrected by Mark Dols, Jun 20 2010
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