|
Search: id:A099868
|
|
|
| A099868 |
|
a(n) = 5a(n - 1) - a(n - 2), a(0) = 3, a(1) = 25. |
|
+0
2
|
|
| 3, 25, 122, 585, 2803, 13430, 64347, 308305, 1477178, 7077585, 33910747, 162476150, 778470003, 3729873865, 17870899322, 85624622745, 410252214403, 1965636449270, 9417930031947, 45124013710465, 216202138520378
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
A. F. Horadam, Pell Identities, Fib. Quart., Vol. 9, No. 3, 1971, pps. 245-252.
|
|
LINKS
|
Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
|
|
FORMULA
|
|2*A099867(n) + a(n) - A003501(n+1)| = 20*A004254(n)
G.f.=(3+10x)/(1-5x+x^2). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 03 2004
|
|
MAPLE
|
a[0]:=3: a[1]:=25: for n from 2 to 30 do a[n]:=5*a[n-1]-a[n-2] od: seq(a[n], n=0..25);
|
|
PROGRAM
|
Floretion Algebra Multiplication Program, FAMP
|
|
CROSSREFS
|
Cf. A099868, A003501, A004254.
Adjacent sequences: A099865 A099866 A099867 this_sequence A099869 A099870 A099871
Sequence in context: A124245 A059457 A095664 this_sequence A112495 A034578 A144646
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Oct 28 2004
|
|
EXTENSIONS
|
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 03 2004
|
|
|
Search completed in 0.002 seconds
|
