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%I #20 Oct 29 2022 09:09:11
%S 1,98,9603,940996,92208005,9035443494,885381254407,86758327488392,
%T 8501430712608009,833053451508096490,81630736817080848011,
%U 7998979154622415008588,783818326416179589993613
%N a(n) = 98*a(n-1)-a(n-2) for n>2, a(1)=1, a(2)=98.
%C Similar to A046173 and A046172.
%H Indranil Ghosh, <a href="/A173205/b173205.txt">Table of n, a(n) for n = 1..502</a>
%H R. Flórez, R. A. Higuita, and A. Mukherjee, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL17/Mukherjee/mukh2.html">Alternating Sums in the Hosoya Polynomial Triangle</a>, Article 14.9.5 Journal of Integer Sequences, Vol. 17 (2014).
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (98,-1).
%F a(n) = ((49+20*sqrt(6))^n - (49-20*sqrt(6))^n)/(40*sqrt(6)).
%F G.f.: x/(1-98*x+x^2). - _R. J. Mathar_, Feb 13 2010
%t CoefficientList[Series[x/(1-98x+x^2),{x,0,20}],x] (* _Harvey P. Dale_, Mar 13 2011 *)
%Y Cf. A046172, A046173.
%K nonn,easy
%O 1,2
%A _Sture Sjöstedt_, Feb 12 2010
%E More terms from _R. J. Mathar_, Feb 13 2010
%E Definition rewritten (with Mathar's recurrence) by _Bruno Berselli_, Nov 10 2011