A129305 -id:A129305 - cp's OEIS frontend

A130274 Table of Encoded Bell Multisets using A064553 (cf. A129305).

2, 6, 11, 42, 69, 77, 86, 109, 546, 834, 861, 897, 994, 1001, 1118, 1529, 1633, 1763, 1041, 1138, 1253, 1417, 1289, 15834, 16086, 19578, 19929, 23842, 24186, 24969, 26013, 28826, 29029, 32422, 26427, 29491, 30441, 30873, 32938, 35642, 35893

Offset: 1

Alford Arnold, May 25 2007

nonn

The sort sequence for A130274 is as described in A129305.

			Consider the five primes {2, 3, 5, 7, 11} then create the subsets {2,7} and {3,5,11} which corresponds to the Murasaki diagram showing the first and fourth objects connected and the second,third and fifth connected.
Calculate A000040(2*7-1) times A000040(3*5*11-1) = A000040(13)*A000040(164) = 41*971 = 39811. Therefore 39811 is a member.

Cf. A000110, A064553, A129305.

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

Original entry on oeis.org

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

Alford Arnold, May 07 2007

nonn

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

			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

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

cp's OEIS Frontend

A130274 Table of Encoded Bell Multisets using A064553 (cf. A129305).

Views

Author

Keywords

Comments

Examples

Crossrefs