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

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (16).

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)

Mathematica

Join[{1}, Table[11 16^(n-1), {n, 20}]] (* Harvey P. Dale, Oct 20 2011 *)

Crossrefs

Cf. A001025, A193722, A196661, A196662, A196663.

Sequence in context: A386723 A390300 A365034 * A003729 A230388 A027398

Adjacent sequences: A196661 A196662 A196663 * A196665 A196666 A196667

Keyword

nonn,easy

Author

Philippe Deléham, Oct 05 2011

Status

approved