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A173737
(10^n+44)/9 for n>0.
1
6, 16, 116, 1116, 11116, 111116, 1111116, 11111116, 111111116, 1111111116, 11111111116, 111111111116, 1111111111116, 11111111111116, 111111111111116, 1111111111111116, 11111111111111116, 111111111111111116
OFFSET
1,1
FORMULA
a(n) = a(n-1)+10^(n-1) = 10*a(n-1)-44 with n>0, a(0)=5.
G.f.: x*(6-50*x)/((1-x)*(1-10*x)). - Vincenzo Librandi, Jul 05 2012
a(n) = 11*a(n-1) -10*a(n-2) with a(0)=5, a(1)=6. - Vincenzo Librandi, Jul 05 2012
a(n) = (A002279(n-1)+3)*2. - Martin Ettl, Nov 08 2012
MATHEMATICA
CoefficientList[Series[(6-50*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)
PROG
(Magma) [(10^n+44)/9: n in [1..20]]; // Vincenzo Librandi, Jul 05 2012
(Maxima) A173737(n):=(10^n+44)/9$ makelist(A173737(n), n, 1, 20); /* Martin Ettl, Nov 08 2012 */
CROSSREFS
Sequence in context: A115331 A239027 A218976 * A152663 A229560 A113561
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Feb 23 2010
STATUS
approved