OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (19,-100,132).
FORMULA
From Vincenzo Librandi, Sep 02 2011: (Start)
a(n) = (5*2^n - 81*6^n + 121*11^n)/45.
a(n) = 19*a(n-1) - 100*a(n-2) + 132*a(n-3) for n > 2.
a(n) = 17*a(n-1) - 66*a(n-2) + 2^n. (End)
G.f.: 1 + 855*x/(Q(0)-855*x), where Q(k) = x*(10*2^k - 486*6^k + 1331*11^k) + 5*2^k - 81*6^k + 121*11^k - x*(5*2^k - 81*6^k + 121*11^k)*(20*2^k - 2916*6^k + 14641*11^k)/Q(k+1); (continued fraction). - Sergei N. Gladkovskii, Jan 02 2014
PROG
(Magma) [(5*2^n-81*6^n+121*11^n)/45: n in [0..20]]; // Vincenzo Librandi, Sep 02 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved