|
|
A333344
|
|
a(n) = 11*a(n-1) - 9*a(n-2) starting a(0)=1, a(1)=10.
|
|
4
|
|
|
1, 10, 101, 1021, 10322, 104353, 1054985, 10665658, 107827373, 1090110181, 11020765634, 111417430345, 1126404843089, 11387696400874, 115127016821813, 1163907917432077, 11766843940356530, 118960112087033137, 1202659637494155737
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (1 - x)/(1 - 11*x + 9*x^2).
E.g.f.: exp(11*x/2)*(85*cosh(sqrt(85)*x/2) + 9*sqrt(85)*sinh(sqrt(85)*x/2))/85. - Stefano Spezia, Mar 03 2023
|
|
MATHEMATICA
|
LinearRecurrence[{11, -9}, {1, 10}, 20] (* Amiram Eldar, Mar 15 2020 *)
|
|
PROG
|
(PARI) a(n) = polcoeff(lift(('x-1)*Mod('x, 'x^2-11*'x+9)^n), 1);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|