A162670 Expansion of x/(1 - x - 100*x^2).

1, 1, 101, 201, 10301, 30401, 1060501, 4100601, 110150701, 520210801, 11535280901, 63556361001, 1217084451101, 7572720551201, 129281165661301, 886553220781401, 13814669786911501, 102469991865051601, 1483936970556201701, 11730936157061361801

Offset

1,3

Links

Table of n, a(n) for n=1..20.

Index entries for linear recurrences with constant coefficients, signature (1,100).

Formula

a(n) = a(n-1) + 100*a(n-2).

G.f.: x/(1 - x - 100*x^2). - Philippe Deléham, Oct 08 2011

Mathematica

LinearRecurrence[{1, 100}, {1, 1}, 20] (* Harvey P. Dale, Nov 21 2014 *)

Prog

(PARI) Vec(x/(1-x-100*x^2)+O(x^99)) \\ Charles R Greathouse IV, Oct 08 2011

Crossrefs

Sequence in context: A044333 A044714 A158128 * A252664 A134970 A081365

Adjacent sequences: A162667 A162668 A162669 * A162671 A162672 A162673

Keyword

nonn,easy

Author

Mark Dols, Jul 10 2009

Extensions

More terms from Philippe Deléham, Oct 08 2011

Status

approved