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A199311 8*5^n+1. 1
9, 41, 201, 1001, 5001, 25001, 125001, 625001, 3125001, 15625001, 78125001, 390625001, 1953125001, 9765625001, 48828125001, 244140625001, 1220703125001, 6103515625001, 30517578125001, 152587890625001, 762939453125001 (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 (6,-5).

FORMULA

a(n) = 5*a(n-1)-4.

a(n) = 6*a(n-1)-5*a(n-2).

G.f.: (9-13*x)/((1-x)*(1-5*x)).

MATHEMATICA

8*5^Range[0, 30]+1 (* or *) LinearRecurrence[{6, -5}, {9, 41}, 30] (* Harvey P. Dale, Feb 20 2015 *)

PROG

(MAGMA) [8*5^n+1: n in [0..30]];

CROSSREFS

Sequence in context: A083584 A276780 A183916 * A146239 A083085 A147283

Adjacent sequences:  A199308 A199309 A199310 * A199312 A199313 A199314

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Nov 05 2011

STATUS

approved

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Last modified February 26 03:09 EST 2020. Contains 332272 sequences. (Running on oeis4.)