A196663 Expansion of g.f. (1-4*x)/(1-13*x).
1, 9, 117, 1521, 19773, 257049, 3341637, 43441281, 564736653, 7341576489, 95440494357, 1240726426641, 16129443546333, 209682766102329, 2725875959330277, 35436387471293601, 460673037126816813, 5988749482648618569, 77853743274432041397, 1012098662567616538161
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (13).
Formula
a(0) = 1, a(n) = 9*13^(n-1) for n>0.
a(n) = Sum_{k=0..n} A193722(n,k)*4^k.
From Elmo R. Oliveira, Mar 18 2025: (Start)
E.g.f.: (9*exp(13*x) + 4)/13.
a(n) = 13*a(n-1). (End)