A110624 Column 13 of array illustrated in A089574 and related to A034261.

2, 148, 2159, 16746, 90371, 383147, 1364679, 4256436, 11952264, 30812675, 73980045, 167235586, 358959637, 736521122, 1452480779, 2765433413, 5102243735, 9150977405, 15997148389, 27320179543, 45672422411, 74869958841, 120533007335, 190824424010, 297447916702, 456983633899, 692658264469, 1036670276472, 1533219097805

Offset

1,1

Comments

The 77 applicable partitions range from n = 20 through n=26 with the following frequency distribution: 2, 9, 16, 15, 14, 9 and 12.

Links

Table of n, a(n) for n=1..29.

Example

A110624(1) = 2 because the two relevant partitions of 20 are 4+4+4+4+4 and 5+5+5+5 and cannot be permuted.
A110624(2) = 148 because at n = 21 the relevant partitions can be permuted in 20 plus 128 = 148 ways.
The 20 ways are apparent from A034261 by observing that 9 + 11 = 20 in the subsequences 1,9,39,... and 1,11,56,...
and the 128 ways result from examining the nine partitions of n = 21 having 3,31,32,33,7,211,221,311 and 411 degrees.
A110624(4)= A110554(13) = 16746.

Crossrefs

Cf. A034261, A110554.

Cf. A000330 (column 2), A086602 (column 3), A089574 (column 4), A107600 (column 5), A107601 (column 6), A109125 (column 7), A109126 (column 8), A109820 (column 9), A108538 (column 10), A109821 (column 11), A110553 (column 12), A110624 (column 13)

Sequence in context: A328228 A316889 A251863 * A177319 A333495 A175974

Adjacent sequences: A110621 A110622 A110623 * A110625 A110626 A110627

Keyword

nonn

Author

Alford Arnold, Aug 26 2005

Extensions

More terms from R. J. Mathar, Aug 28 2018

Status

approved