cp's OEIS Frontend

A129306 Resort sequence A096443 by source partition as described by A053445 and A126442.

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