|
Search: id:A087452
|
|
|
| A087452 |
|
G.f.: (2-x)/((1+3x)(1-4x)); e.g.f.: exp(4x)+exp(-3x); a(n)=4^n+(-3)^n. |
|
+0
2
|
|
| 2, 1, 25, 37, 337, 781, 4825, 14197, 72097, 242461, 1107625, 4017157, 17308657, 65514541, 273218425, 1059392917, 4338014017, 17050729021, 69106897225, 273715645477, 1102998412177, 4387586157901, 17623567104025, 70274600998837
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Generalized Lucas-Jacobsthal numbers.
|
|
LINKS
|
Index entries for sequences related to linear recurrences with constant coefficients
|
|
FORMULA
|
The sequence 1, 25, 35, ... is 4*4^n-3*(-3)^n.
a(0)=2, a(1)=1, a(n)=a(n-1)+12*a(n-2) for n>1. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 19 2009]
|
|
CROSSREFS
|
Cf. A014551, A087451.
Sequence in context: A013313 A013317 A010256 this_sequence A098878 A138955 A089963
Adjacent sequences: A087449 A087450 A087451 this_sequence A087453 A087454 A087455
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Sep 06 2003
|
|
|
Search completed in 0.002 seconds
|
