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 A110624 Column 13 of array illustrated in A089574 and related to A034261. 1

%I

%S 2,148,2159,16746

%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 can not 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. A089574 A034261 A110554.

%K more,nonn

%O 1,1

%A _Alford Arnold_, Aug 26 2005

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Last modified May 22 00:16 EDT 2013. Contains 225508 sequences.