Search: id:A097941
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%I A097941
%S A097941 1,3,6,15,31,72,155,340,738,1595,3424,7335,15642,33243,70432,148808,
%T A097941 313571,659188,1382682,2894369,6047397,12613209,26265098,54610722,
%U A097941 113387831,235117449,486933645,1007290340,2081469759,4296789924
%N A097941 Total number of smallest parts in all compositions of n.
%F A097941 G.f.: (1-x)^2*Sum(x^k/(1-x-x^k)^2, k=1..infinity).
%t A097941 Drop[ CoefficientList[ Series[(1 - x)^2*Sum[x^k/(1 - x - x^k)^2, {k, 
               50}], {x, 0, 30}], x], 1] (from Robert G. Wilson v Sep 08 2004)
%Y A097941 Cf. A092269.
%Y A097941 Sequence in context: A141023 A126982 A034739 this_sequence A117161 A006961 
               A034740
%Y A097941 Adjacent sequences: A097938 A097939 A097940 this_sequence A097942 A097943 
               A097944
%K A097941 easy,nonn
%O A097941 1,2
%A A097941 Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 05 2004
%E A097941 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 08 2004

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