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A173205
a(n) = 98*a(n-1)-a(n-2) for n>2, a(1)=1, a(2)=98.
2
1, 98, 9603, 940996, 92208005, 9035443494, 885381254407, 86758327488392, 8501430712608009, 833053451508096490, 81630736817080848011, 7998979154622415008588, 783818326416179589993613
OFFSET
1,2
COMMENTS
Similar to A046173 and A046172.
LINKS
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).
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
MATHEMATICA
CoefficientList[Series[x/(1-98x+x^2), {x, 0, 20}], x] (* Harvey P. Dale, Mar 13 2011 *)
CROSSREFS
Sequence in context: A374693 A263032 A168522 * A181553 A251914 A277658
KEYWORD
nonn,easy
AUTHOR
Sture Sjöstedt, Feb 12 2010
EXTENSIONS
More terms from R. J. Mathar, Feb 13 2010
Definition rewritten (with Mathar's recurrence) by Bruno Berselli, Nov 10 2011
STATUS
approved