login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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