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A173776 (4*10^n+41)/9. 1
5, 9, 49, 449, 4449, 44449, 444449, 4444449, 44444449, 444444449, 4444444449, 44444444449, 444444444449, 4444444444449, 44444444444449, 444444444444449, 4444444444444449, 44444444444444449, 444444444444444449 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (11,-10).

FORMULA

a(n) = 10*a(n-1)-41 with n>0, a(0)=5.

G.f.: (5-46*x)/((1-x)*(1-10*x)). - Vincenzo Librandi, Jul 05 2012

a(n) = 11*a(n-1) -10*a(n-2). - Vincenzo Librandi, Jul 05 2012

MATHEMATICA

Join[{5}, FromDigits/@Table[PadLeft[{9}, n, 4], {n, 20}]] (* or *) Join[{5}, NestList[10#-41&, 9, 20]] (* Harvey P. Dale, Feb 17 2012 *)

CoefficientList[Series[(5-46*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)

PROG

(MAGMA)[(4*10^n+41)/9: n in [0..20]]; // Vincenzo Librandi, Jul 05 2012

CROSSREFS

Cf. A093402.

Sequence in context: A105182 A100457 A080872 * A289909 A000324 A123817

Adjacent sequences:  A173773 A173774 A173775 * A173777 A173778 A173779

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Feb 24 2010

STATUS

approved

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Last modified October 18 21:12 EDT 2018. Contains 316325 sequences. (Running on oeis4.)