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%I #7 Nov 23 2014 02:52:33
%S 1,2,2,3,4,5,5,7,11,15,9,7,12,21,36,52,16,26,11,19,38,74,135,203,29,
%T 52,92,31,66,15,30,64,141,296,566,877,47,98,198,371,57,109,137,249,22,
%U 45,105,250,592,1315,2610,4140,77,171,392,850,1663,97,212,444,269,560,1075
%N Resort sequence A096443 by source partition as described by A053445 and A126442.
%C The first array is described in A126442 and is the hook case. Sequence A129305 encodes the multisets counted by A096443 and A129306.
%e a(11) = 9 because 2+2= 4 starting a new array. The arrays begin as follows:
%e 1.....2.....3.....5......7......11.....15.....22
%e ......2.....4.....7......12.....19.....30.....45
%e ............5.....11.....21.....38.....64.....105
%e ..................15.....36.....74.....141....250
%e .........................52.....135....296....592
%e ................................203....566....1315
%e .......................................877....2610
%e ..............................................4140
%e ..................9......16.....29.....47.....77
%e .........................26.....52.....98.....171
%e ................................92.....198....392
%e .......................................371....850
%e ..............................................1663
%e ................................31.....57.....97
%e .......................................109....212
%e ..............................................444
%e ................................66.....137....269
%e .......................................249....560
%e ..............................................1075
%e ..............................................109
%e ..............................................300
%e ..............................................712
%e which sums to
%e 1.....4....12....47....170....750....3255.....16010
%Y Cf. A000041, A035310, A035341, A053445, A054225, A082775, A093802, A096443, A126442, A129305.
%K nonn
%O 1,2
%A _Alford Arnold_, May 07 2007
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