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Resort sequence A096443 by source partition as described by A053445 and A126442.
12

%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