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.

A224045 Number of nX3 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.

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%I A224045 #6 Jul 23 2025 04:56:57
%S A224045 50,984,9731,67585,376734,1801402,7655477,29502561,104437965,
%T A224045 342818189,1051490221,3033475639,8279003183,21484969347,53256520053,
%U A224045 126598758740,289630093258,639706047860,1367894672765,2838837855851,5730717831654
%N A224045 Number of nX3 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.
%C A224045 Column 3 of A224050
%H A224045 R. H. Hardin, <a href="/A224045/b224045.txt">Table of n, a(n) for n = 1..210</a>
%F A224045 Empirical: a(n) = (1/3629463552000)*n^18 + (7/403273728000)*n^17 + (667/951035904000)*n^16 + (3253/174356582400)*n^15 + (1895917/5230697472000)*n^14 + (1319281/249080832000)*n^13 + (509321/8211456000)*n^12 + (100859/174182400)*n^11 + (332201027/73156608000)*n^10 + (728354747/24385536000)*n^9 + (143150448337/804722688000)*n^8 + (121759327/136857600)*n^7 + (2559704983/808704000)*n^6 + (221471493559/31135104000)*n^5 + (346834471679/24216192000)*n^4 + (1741800289/181621440)*n^3 + (25437920323/1715313600)*n^2 + (1383692/69615)*n - 32 for n>1
%e A224045 Some solutions for n=3
%e A224045 ..2..0..0....1..1..0....0..1..0....3..3..0....0..0..2....0..1..0....0..0..0
%e A224045 ..3..1..0....1..1..3....3..3..0....3..1..1....0..2..0....1..2..2....0..1..0
%e A224045 ..1..3..0....1..3..1....3..0..0....2..1..1....2..3..0....2..2..2....2..2..3
%K A224045 nonn
%O A224045 1,1
%A A224045 _R. H. Hardin_ Apr 01 2013