Search: id:A072380
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%I A072380
%S A072380 1,1,1,2,2,3,2,3,2,5,4,7,3,7,3,11,5,15,4,17,2,24,4,32,1,38,5,53,7,70,18,
%T A072380 86,33,115,45,152,74,191,109,254,150,331,218,420,307,551,410,716,567,913,
%U A072380 767,1186,1015,1529,1358,1951,1799,2513,2344,3222,3079,4096,4009,5237,
               5173
%V A072380 -1,1,-1,2,-2,3,-2,3,-2,5,-4,7,-3,7,-3,11,-5,15,-4,17,-2,24,-4,32,1,38,
               5,53,7,70,18,
%W A072380 86,33,115,45,152,74,191,109,254,150,331,218,420,307,551,410,716,567,913,
%X A072380 767,1186,1015,1529,1358,1951,1799,2513,2344,3222,3079,4096,4009,5237,
               5173
%N A072380 Third differences of partition numbers A000041.
%C A072380 Comtet appears to say this is nonnegative, which is only true for n sufficiently 
               large.
%C A072380 An explanation is given by Odlyzko. - Moshe Newman (moshnoiman(AT)gmail.com), 
               Jun 11 2006
%D A072380 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 115.
%D A072380 A. M. Odlyzko, Differences of the partition function, Acta Arith., 49 
               (1988), pp. 237-254
%Y A072380 Cf. A000041, A002865, A053445, A081094, A081095.
%Y A072380 Sequence in context: A105560 A165916 A096013 this_sequence A144910 A080330 
               A152872
%Y A072380 Adjacent sequences: A072377 A072378 A072379 this_sequence A072381 A072382 
               A072383
%K A072380 sign
%O A072380 0,4
%A A072380 N. J. A. Sloane (njas(AT)research.att.com), Apr 25 2003

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