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A129306 Resort sequence A096443 by source partition as described by A053445 and A126442. 10
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 (list; graph; refs; listen; history; internal format)
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.

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 * A114094 A179255 A093936

Adjacent sequences:  A129303 A129304 A129305 * A129307 A129308 A129309

KEYWORD

nonn

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), May 07 2007

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Last modified February 17 13:11 EST 2012. Contains 206031 sequences.