Search: id:A158690
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%I A158690
%S A158690 1,1,5,55,1073,32671,1431665,85363615,6646603073,654896692351,
%T A158690 79656194515025,11722538113191775,2052949879753739873,
%U A158690 421931472111868912831,100568330857984368195185
%N A158690 Expansion of the basic hypergeometric series 1 + (1-exp(-t)) + (1-exp(-t))*(1-exp(-3t)) 
               + (1-exp(-t))*(1-exp(-3t))*(1-exp(-5t)) + ... as a series in t.
%C A158690 We appear to get the same sequence by expanding 1 - (1-exp(t)) + (1-exp(t))*(1-exp(2t)) 
               - (1-exp(t))*(1-exp(2t))*(1-exp(3t)) + ... as a series in t. Compare 
               with A079144. For other sequences with generating functions of a 
               similar type see A000364, A000464, A002105 and A002439.
%F A158690 Basic hypergeometric generating function: 1 + Sum {n = 1..inf} Product 
               {k = 1..n} (1-exp(2*k-1)*t)) = 1 + t + 5*t^2/2! + 55*t^3/3! + ....
%Y A158690 A000364, A000464, A002105, A002439, A079144, A158691.
%Y A158690 Sequence in context: A140049 A130031 A119399 this_sequence A102221 A056600 
               A126456
%Y A158690 Adjacent sequences: A158687 A158688 A158689 this_sequence A158691 A158692 
               A158693
%K A158690 easy,nonn
%O A158690 0,3
%A A158690 Peter Bala (pbala(AT)talktalk.net), Mar 24 2009

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