cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A110624 #9 Aug 28 2018 10:09:39
%S A110624 2,148,2159,16746,90371,383147,1364679,4256436,11952264,30812675,
%T A110624 73980045,167235586,358959637,736521122,1452480779,2765433413,
%U A110624 5102243735,9150977405,15997148389,27320179543,45672422411,74869958841,120533007335,190824424010,297447916702,456983633899,692658264469,1036670276472,1533219097805
%N A110624 Column 13 of array illustrated in A089574 and related to A034261.
%C A110624 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 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 A110624(2) = 148 because at n = 21 the relevant partitions can be permuted in 20 plus 128 = 148 ways.
%e A110624 The 20 ways are apparent from A034261 by observing that 9 + 11 = 20 in the subsequences 1,9,39,... and 1,11,56,...
%e A110624 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 A110624(4)= A110554(13) = 16746.
%Y A110624 Cf. A034261, A110554.
%Y A110624 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 A110624 nonn
%O A110624 1,1
%A A110624 _Alford Arnold_, Aug 26 2005
%E A110624 More terms from _R. J. Mathar_, Aug 28 2018