|
|
A147837
|
|
a(n)=7*a(n-1)-5*a(n-2), a(0)=1, a(1)=5 .
|
|
2
|
|
|
1, 5, 30, 185, 1145, 7090, 43905, 271885, 1683670, 10426265, 64565505, 399827210, 2475962945, 15332604565, 94948417230, 587975897785, 3641089198345, 22547744899490, 139628768304705, 864662653635485, 5354494733924870
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n)=Sum_{k, 0<=k<=n}A147703(n,k)*4^k. G.f.: (1-2x)/(1-7x+5*x^2).
a(n)= ((29+7*sqrt(29))/58)*(3.5+0.5*sqrt(29)^n +((29-7*sqrt(29))/58)*(3.5-0.5*sqrt(29)^n [From Richard Choulet, Nov 20 2008]
|
|
MATHEMATICA
|
LinearRecurrence[{7, -5}, {1, 5}, 30] (* Harvey P. Dale, Oct 10 2015 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|