|
| |
|
|
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
|
| |
|
|
