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Column 13 of array illustrated in A089574 and related to A034261.
8

%I #9 Aug 28 2018 10:09:39

%S 2,148,2159,16746,90371,383147,1364679,4256436,11952264,30812675,

%T 73980045,167235586,358959637,736521122,1452480779,2765433413,

%U 5102243735,9150977405,15997148389,27320179543,45672422411,74869958841,120533007335,190824424010,297447916702,456983633899,692658264469,1036670276472,1533219097805

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

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

%e 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.

%e A110624(2) = 148 because at n = 21 the relevant partitions can be permuted in 20 plus 128 = 148 ways.

%e The 20 ways are apparent from A034261 by observing that 9 + 11 = 20 in the subsequences 1,9,39,... and 1,11,56,...

%e 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.

%e A110624(4)= A110554(13) = 16746.

%Y Cf. A034261, A110554.

%Y 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)

%K nonn

%O 1,1

%A _Alford Arnold_, Aug 26 2005

%E More terms from _R. J. Mathar_, Aug 28 2018