A196664 Expansion of g.f. (1-5*x)/(1-16*x).
1, 11, 176, 2816, 45056, 720896, 11534336, 184549376, 2952790016, 47244640256, 755914244096, 12094627905536, 193514046488576, 3096224743817216, 49539595901075456, 792633534417207296, 12682136550675316736, 202914184810805067776, 3246626956972881084416
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (16).
Programs
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Mathematica
Join[{1},Table[11 16^(n-1),{n,20}]] (* Harvey P. Dale, Oct 20 2011 *)
Formula
a(0) = 1, a(n) = 11*16^(n-1) for n>0.
a(n) = Sum_{k=0..n} A193722(n,k)*5^k.
From Elmo R. Oliveira, Mar 18 2025: (Start)
E.g.f.: (11*exp(16*x) + 5)/16.
a(n) = 16*a(n-1). (End)