Search: id:A088931
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%I A088931
%S A088931 0,0,1,0,2,1,2,1,4,3,5,4,7,6,8,7,12,11,15,14,20,19,24,23,31,30,37,36,45,
%T A088931 44,52,51,64,63,75,74,90,89,104,103,124,123,143,142,167,166,190,189,221,
%U A088931 220,251,250,288,287,324,323,369,368,413,412,465,464,516,515,580
%N A088931 G.f.: Sum_{n >= 1} ( x^(2^n)/ ((1+x^(2^(n-1)))*Product_{j=0..n-1} (1-x^(2^j)) 
               ) ).
%C A088931 This is the g.f. for the number of non-squashing partitions with a repeated 
               part, that is, A000123(n) - A088567(n).
%H A088931 N. J. A. Sloane and J. A. Sellers, <a href="http://arXiv.org/abs/math.CO/
               0312418">On non-squashing partitions</a>, Discrete Math., 294 (2005), 
               259-274.
%e A088931 x^2/((1 + x)*(1 - x)) + x^4/((1 + x^2)*(1 - x)*(1 - x^2)) + x^8/((1 + 
               x^4)*(1 - x)*(1 - x^2)*(1 - x^4)) + ...
%Y A088931 Apart from initial terms, same as A088980.
%Y A088931 Sequence in context: A090924 A160595 A105778 this_sequence A088980 A157333 
               A002852
%Y A088931 Adjacent sequences: A088928 A088929 A088930 this_sequence A088932 A088933 
               A088934
%K A088931 nonn
%O A088931 0,5
%A A088931 N. J. A. Sloane (njas(AT)research.att.com), Dec 02 2003

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