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A198962 5*9^n-1. 1
4, 44, 404, 3644, 32804, 295244, 2657204, 23914844, 215233604, 1937102444, 17433922004, 156905298044, 1412147682404, 12709329141644, 114383962274804, 1029455660473244, 9265100944259204, 83385908498332844, 750473176484995604 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10,-9).

FORMULA

a(n) = 4*A138894(n).

a(n) = 9*a(n-1)+8, n>0.

a(n) = 10*a(n-1)-9*a(n-2), n>1.

G.f. ( 4+4*x ) / ( (9*x-1)*(x-1) ). - R. J. Mathar, Nov 01 2011

MATHEMATICA

5*9^Range[0, 30]-1 (* or *) LinearRecurrence[{10, -9}, {4, 44}, 30] (* Harvey P. Dale, Oct 20 2019 *)

PROG

(MAGMA) [5*9^n-1: n in [0..20]]

CROSSREFS

Sequence in context: A297384 A178294 A043039 * A002754 A187870 A216272

Adjacent sequences:  A198959 A198960 A198961 * A198963 A198964 A198965

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Nov 01 2011

STATUS

approved

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Last modified May 8 12:13 EDT 2021. Contains 343666 sequences. (Running on oeis4.)