A196512 Expansion of g.f. (1-9*x)/(1-28*x).
1, 19, 532, 14896, 417088, 11678464, 326996992, 9155915776, 256365641728, 7178237968384, 200990663114752, 5627738567213056, 157576679881965568, 4412147036695035904, 123540117027461005312, 3459123276768908148736, 96855451749529428164608, 2711952648986823988609024
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..500
- Index entries for linear recurrences with constant coefficients, signature (28).
Programs
-
Magma
[1] cat [19*28^(n-1) : n in [1..15]]; // Vincenzo Librandi, Oct 06 2011
-
Mathematica
Join[{1},19*28^Range[0,20]] (* Harvey P. Dale, Dec 06 2015 *) -
PARI
a(n)=if(n,19*28^(n-1),1) \\ M. F. Hasler, Oct 06 2011
Formula
a(n) = 19*28^(n-1) for n > 0, a(0)=1.
a(n) = Sum_{k=0..n} A193722(n,k)*9^k.
From Elmo R. Oliveira, Mar 25 2025: (Start)
E.g.f.: (19*exp(28*x) + 9)/28.
a(n) = 28*a(n-1) for n > 1. (End)