A173205 a(n) = 98*a(n-1)-a(n-2) for n>2, a(1)=1, a(2)=98.
1, 98, 9603, 940996, 92208005, 9035443494, 885381254407, 86758327488392, 8501430712608009, 833053451508096490, 81630736817080848011, 7998979154622415008588, 783818326416179589993613
Offset: 1
Links
- Indranil Ghosh, Table of n, a(n) for n = 1..502
- R. Flórez, R. A. Higuita, and A. Mukherjee, Alternating Sums in the Hosoya Polynomial Triangle, Article 14.9.5 Journal of Integer Sequences, Vol. 17 (2014).
- Index entries for linear recurrences with constant coefficients, signature (98,-1).
Programs
-
Mathematica
CoefficientList[Series[x/(1-98x+x^2),{x,0,20}],x] (* Harvey P. Dale, Mar 13 2011 *)
Formula
a(n) = ((49+20*sqrt(6))^n - (49-20*sqrt(6))^n)/(40*sqrt(6)).
G.f.: x/(1-98*x+x^2). - R. J. Mathar, Feb 13 2010
Extensions
More terms from R. J. Mathar, Feb 13 2010
Definition rewritten (with Mathar's recurrence) by Bruno Berselli, Nov 10 2011
Comments