A014940 a(1)=1, a(n)=n*22^(n-1)+a(n-1).

1, 45, 1497, 44089, 1215369, 32137161, 825796489, 20780659593, 514663521417, 12587355699337, 304746506405001, 7316566123340937, 174431600326980745, 4133772410690139273, 97461091512107447433, 2287542179758700278921

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (45, -528, 484).

Formula

G.f.: x/((1-x) (-1+22 x)^2). - Harvey P. Dale, Apr 21 2011

Mathematica

Table[(1+22^n (21n-1))/441, {n, 20}] (* or *) CoefficientList[ Series[1/((1-x) (-1+22 x)^2), {x, 0, 20}], x] (* Harvey P. Dale, Apr 21 2011 *)

Crossrefs

Sequence in context: A107399 A053112 A240686 * A273436 A049397 A215859

Adjacent sequences: A014937 A014938 A014939 * A014941 A014942 A014943

Keyword

nonn,easy

Author

Olivier Gérard

Status

approved