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

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, 52, 92, 31, 66, 15, 30, 64, 141, 296, 566, 877, 47, 98, 198, 371, 57, 109, 137, 249, 22, 45, 105, 250, 592, 1315, 2610, 4140, 77, 171, 392, 850, 1663, 97, 212, 444, 269, 560, 1075

Offset

1,2

Comments

The first array is described in A126442 and is the hook case. Sequence A129305 encodes the multisets counted by A096443 and A129306.

Links

Table of n, a(n) for n=1..63.

Example

a(11) = 9 because 2+2= 4 starting a new array. The arrays begin as follows:
1.....2.....3.....5......7......11.....15.....22
......2.....4.....7......12.....19.....30.....45
............5.....11.....21.....38.....64.....105
..................15.....36.....74.....141....250
.........................52.....135....296....592
................................203....566....1315
.......................................877....2610
..............................................4140
..................9......16.....29.....47.....77
.........................26.....52.....98.....171
................................92.....198....392
.......................................371....850
..............................................1663
................................31.....57.....97
.......................................109....212
..............................................444
................................66.....137....269
.......................................249....560
..............................................1075
..............................................109
..............................................300
..............................................712
which sums to
1.....4....12....47....170....750....3255.....16010

Crossrefs

Cf. A000041, A035310, A035341, A053445, A054225, A082775, A093802, A096443, A126442, A129305.

Sequence in context: A015755 A096443 A126442 * A322077 A114094 A179255

Adjacent sequences: A129303 A129304 A129305 * A129307 A129308 A129309

Keyword

nonn

Author

Alford Arnold, May 07 2007

Status

approved