|
| |
|
|
A127211
|
|
4^n*Lucas(n), with A000204 the Lucas numbers.
|
|
9
|
|
|
|
4, 48, 256, 1792, 11264, 73728, 475136, 3080192, 19922944, 128974848, 834666496, 5402263552, 34963718144, 226291089408, 1464583847936, 9478992822272, 61349312856064, 397061136580608, 2569833552019456, 16632312393367552
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
LINKS
|
Table of n, a(n) for n=1..20.
|
|
|
FORMULA
|
a(n) = Trace of matrix [({4,4},{4,0})^n] a(n) = 4^n Trace of matrix [({1,1},{1,0})^n]
|
|
|
MATHEMATICA
|
Table[4^n Tr[MatrixPower[{{1, 1}, {1, 0}}, x]], {x, 1, 20}]
|
|
|
CROSSREFS
|
Cf. A087131, A127210, A127212, A127213, A127214, A127215, A127216.
Sequence in context: A192418 A162673 A002287 * A217153 A129002 A144704
Adjacent sequences: A127208 A127209 A127210 * A127212 A127213 A127214
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Artur Jasinski, Jan 09 2007
|
|
|
STATUS
|
approved
|
| |
|
|
