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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Similar to A046173 and A046172. LINKS Indranil Ghosh, Table of n, a(n) for n = 1..502 R. Flórez, R. A. Higuita, 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). 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]  (* From Harvey P. Dale, Mar 13 2011 *) CROSSREFS Cf. A046172, A046173. Sequence in context: A201389 A263032 A168522 * A181553 A251914 A277658 Adjacent sequences:  A173202 A173203 A173204 * A173206 A173207 A173208 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

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Last modified August 14 17:54 EDT 2022. Contains 356122 sequences. (Running on oeis4.)