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, 76806197009630977404365486, 7526223488617419606037824015, 737493095687497490414302387984

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, 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).

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

a(n) = A072818(n)/20. - Alois P. Heinz, May 31 2026

Mathematica

CoefficientList[Series[x/(1-98x+x^2), {x, 0, 20}], x]  (* Harvey P. Dale, Mar 13 2011 *)

Crossrefs

Cf. A046172, A046173, A072818.

Sequence in context: A374693 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