Search: id:A060850
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%I A060850
%S A060850 1,1,1,1,2,2,1,3,5,3,1,4,9,10,5,1,5,14,22,20,7,1,6,20,40,51,36,11,1,7,
%T A060850 27,65,105,108,65,15,1,8,35,98,190,252,221,110,22,1,9,44,140,315,506,
%U A060850 574,429,185,30,1,10,54,192,490,918,1265,1240,810,300,42,1,11,65,255
%N A060850 Sequence formed from antidiagonals of matrix defined by coefficients 
               a[e,m] in Taylor expansion of P=Product[(1-x^n)^-e,{n,+Infinity}] 
               i.e. P==Sum[a[e,m] x^m, {m,0,+Infinity}], e = 1, 2, 3, ...
%C A060850 Table read by antidiagonals: entry (n,k) gives number of partitions of 
               n objects into parts of k kinds. - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), 
               Dec 28 2006
%F A060850 G.f. A(n;x) for n-th row satisfies A(n;x) = Sum_{k=1..n} A000041(k-1)*A(n-k;
               x)*x^(k-1), A(0;x) = 1. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Jan 02 2004
%Y A060850 Cf. A067687 (row sums).
%Y A060850 Columns: A000041, A000712, A000716, A023003-A023021, A006922. Rows: A000012, 
               A000027, A000096, A006503, A006504.
%Y A060850 Sequence in context: A046752 A086350 A140767 this_sequence A038137 A073133 
               A106179
%Y A060850 Adjacent sequences: A060847 A060848 A060849 this_sequence A060851 A060852 
               A060853
%K A060850 tabl,nonn,easy
%O A060850 1,5
%A A060850 Bo T. Ahlander (ahlboa(AT)isk.kth.se), May 03 2001
%E A060850 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 02 2004

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