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.

A323530 Number of square plane partitions of n with strictly decreasing rows and columns.

This page as a plain text file.
%I A323530 #10 Feb 23 2019 10:10:59
%S A323530 1,1,1,1,1,1,1,1,2,2,4,5,8,10,15,18,25,30,39,46,58,67,82,94,112,127,
%T A323530 149,168,194,218,251,282,324,368,425,489,573,670,797,952,1148,1392,
%U A323530 1703,2086,2568,3168,3908,4823,5947,7318,8986,11012,13443,16371,19866
%N A323530 Number of square plane partitions of n with strictly decreasing rows and columns.
%e A323530 The a(12) = 8 plane partitions:
%e A323530   [12]
%e A323530 .
%e A323530   [5 4] [6 3] [7 2] [5 3] [6 2] [4 3] [5 2]
%e A323530   [2 1] [2 1] [2 1] [3 1] [3 1] [3 2] [4 1]
%t A323530 Table[Sum[Length[Select[Tuples[IntegerPartitions[#,{Length[ptn]}]&/@ptn],And@@Greater@@@#&&And@@Greater@@@Transpose[#]&]],{ptn,IntegerPartitions[n]}],{n,30}]
%Y A323530 Cf. A000219, A089299, A306320, A323429, A323434, A323439, A323522, A323529, A323530, A323531.
%K A323530 nonn
%O A323530 0,9
%A A323530 _Gus Wiseman_, Jan 17 2019