Search: id:A099242
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%I A099242
%S A099242 1,7,34,153,686,3088,13917,62721,282646,1273690,5739647,25864698,
%T A099242 116554700,525233175,2366870474,10665883415,48063918336,216591552484,
%U A099242 976031547888,4398313653120,19820223058176,89316331907533
%N A099242 (6n+5)-th terms of expansion of 1/(1-x-x^6).
%C A099242 A row of A099239.
%C A099242 Equals INVERT transform of A000389, C(n,5). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Feb 02 2009]
%F A099242 G.f.: 1/((1-x)^6-x); a(n)=7a(n-1)-15a(n-2)+20a(n-3)-15a(n-4)+6a(n-5)-a(n-6); 
               a(n)=sum{k=0..n, binomial(6n-5(k-1), k)}; a(n)=sum{k=0..n, binomial(n+5(k+1), 
               k+5(k+1)}; a(n)=sum{k=0..n, binomial(n+5(k+1), n-k)}.
%Y A099242 A000389 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 02 2009]
%Y A099242 Sequence in context: A094891 A052161 A080960 this_sequence A032206 A124466 
               A055271
%Y A099242 Adjacent sequences: A099239 A099240 A099241 this_sequence A099243 A099244 
               A099245
%K A099242 easy,nonn
%O A099242 0,2
%A A099242 Paul Barry (pbarry(AT)wit.ie), Oct 08 2004

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