Search: id:A112700
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%I A112700
%S A112700 1,7,79,1159,19303,345895,6504487,126597031,2528447911,51526205863,
%T A112700 1067116097959,22394503831975,475191351108007,10177980935594407,
%U A112700 219758235960500647,4778128782752211367,104526001924311998887
%N A112700 Partial sum of Catalan numbers A000108 multiplied by powers of 6.
%F A112700 a(n)=sum(C(k)*6^k, k=0..n), n>=0, with C(n):=A000108(n).
%F A112700 G.f.: c(6*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of 
               Catalan numbers A000108.
%Y A112700 Seventh column (m=6) of triangle A112705.
%Y A112700 Sequence in context: A127890 A127859 A014293 this_sequence A098105 A159524 
               A113034
%Y A112700 Adjacent sequences: A112697 A112698 A112699 this_sequence A112701 A112702 
               A112703
%K A112700 nonn,easy
%O A112700 0,2
%A A112700 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Oct 31 2005

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