Search: id:A016125
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%I A016125
%S A016125 1,13,157,1885,22621,271453,3257437,39089245,469070941,
%T A016125 5628851293,67546215517,810554586205,9726655034461,116719860413533,
%U A016125 1400638324962397,16807659899548765,201691918794585181
%N A016125 Expansion of 1/((1-x)(1-12x)).
%H A016125 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Repunit.html">Link to a section of The World of Mathematics.</a>
%F A016125 (12^(n+1) - 1)/11.
%F A016125 a(n)=12*a(n-1)+1 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Oct 29 2009]
%e A016125 For n=2, a(2)12*1+1=13; n=3, a(3)=12*13+1=157; n=4, a(4)12*157+1=1885 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009]
%p A016125 a:=n->sum(12^(n-j),j=1..n): seq(a(n), n=1..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jan 04 2007
%o A016125 (Other) sage: [lucas_number1(n,13,12) for n in xrange(1, 18)]# [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
%o A016125 (Other) sage: [gaussian_binomial(n,1,12) for n in xrange(1,18)] # [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 28 2009]
%Y A016125 Sequence in context: A159499 A125470 A165151 this_sequence A015470 A084328 
               A000830
%Y A016125 Adjacent sequences: A016122 A016123 A016124 this_sequence A016126 A016127 
               A016128
%K A016125 nonn
%O A016125 0,2
%A A016125 N. J. A. Sloane (njas(AT)research.att.com).

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