Search: id:A007322
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%I A007322 M4231
%S A007322 1,6,39,320,3281,40558,586751,9719616,181353777,3762893750,85934344775,
%T A007322 2141853777856,57852105131809,1683237633305502,52483648929669119,
%U A007322 1745835287515739328,61712106494672572641,2309989101145068446502
%N A007322 Number of functors of degree n from free Abelian groups to Abelian groups.
%D A007322 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007322 H. J. Baues, Quadratic functors and metastable homotopy, Jnl. Pure and 
               Applied Algebra, 91 (1994), 49-107.
%F A007322 Binomial transform of A101370. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Aug 17 2006
%F A007322 a(n) = (1/n!)*Sum_{k=1..n} (-1)^(n-k)*Stirling1(n+1,k+1)*A000670(k)^2. 
               - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 17 2006
%F A007322 G.f.: (1/(1-x))*Sum_{m>0,n>0} Sum_{j=1..n} (-1)^(n-j)*binomial(n,j)*((1-x)^(-j)-1)^m. 
               - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 17 2006
%F A007322 Partial sums of A120733. - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 
               21 2006
%Y A007322 Sequence in context: A135890 A067273 A137972 this_sequence A058191 A113347 
               A031972
%Y A007322 Adjacent sequences: A007319 A007320 A007321 this_sequence A007323 A007324 
               A007325
%K A007322 nonn,nice
%O A007322 1,2
%A A007322 Don Zagier (don.zagier(AT)mpim-bonn.mpg.de), Apr 11 1994
%E A007322 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 17 2006

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