Search: id:A053732
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%I A053732
%S A053732 1,2,5,13,37,111,359,1211,4338,16205,63305,254803,1073370,4638359,
%T A053732 20731961,95072041,449599410,2170162939,10782813595,54579794359,
%U A053732 283240154578
%N A053732 Number of ways to partition {1,...,n} into arithmetic progressions of 
               length >= 1.
%e A053732 a(4) gives the total number of partitions of {1,2,3,4} (Bell(4); see 
               A000110) excluding the partitions {1,2,4}{3} and {1,3,4}{2}. Hence 
               a(4) = 15 - 2 = 13.
%Y A053732 Cf. A000110.
%Y A053732 Sequence in context: A003080 A149854 A151442 this_sequence A119495 A148301 
               A149855
%Y A053732 Adjacent sequences: A053729 A053730 A053731 this_sequence A053733 A053734 
               A053735
%K A053732 more,nonn,nice
%O A053732 1,2
%A A053732 Marty Getz and Dixon Jones (ffmpg1(AT)uaf.edu, fndjj(AT)uaf.edu), Feb 
               13 2000
%E A053732 More terms from Winston C. Yang (winston(AT)cs.wisc.edu), May 20 2001
%E A053732 a(15)-a(21) from Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 23 2009

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