Search: id:A097939
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%I A097939
%S A097939 1,3,6,12,22,42,79,151,291,566,1106,2175,4293,8499,16864,33523,66727,
%T A097939 132958,265137,529050,1056169,2109282,4213710,8419697,16827079,33634489,
%U A097939 67237513,134424624,268768414,537407062,1074605619,2148875961
%N A097939 Sum of smallest parts of all compositions of n.
%C A097939 Sums of anti-diagonals of A099238. - Paul Barry (pbarry(AT)wit.ie), Oct 
               08 2004
%F A097939 G.f.: Sum(x^k/(1-x-x^k), k=1..infinity).
%F A097939 a(n)=sum{r=0..n, sum{k=0..floor((n-r)/(r+1)), binomial(n-r(k+1), k)}} 
               - Paul Barry (pbarry(AT)wit.ie), Oct 08 2004
%F A097939 G.f.: (1-x)^2*Sum(k*x^k/((x^k+x-1)*(x^(k+1)+x-1)),k=1..infinity). - Vladeta 
               Jovovic (vladeta(AT)eunet.rs), Apr 23 2006
%F A097939 G.f.: Sum(x^k/((1-x)^k*(1-x^k)),k=1..infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Mar 02 2008
%t A097939 Drop[ CoefficientList[ Series[ Sum[x^k/(1 - x - x^k), {k, 50}], {x, 0, 
               35}], x], 1] (from Robert G. Wilson v Sep 08 2004)
%Y A097939 Cf. A046746, A092309.
%Y A097939 Sequence in context: A066982 A018078 A005404 this_sequence A162506 A055244 
               A089068
%Y A097939 Adjacent sequences: A097936 A097937 A097938 this_sequence A097940 A097941 
               A097942
%K A097939 easy,nonn
%O A097939 1,2
%A A097939 Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 05 2004
%E A097939 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 08 2004

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