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.

A224052 Number of nX3 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing.

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%I A224052 #6 Jul 23 2025 04:58:11
%S A224052 22,218,1232,5219,18502,57911,164781,433762,1068664,2485274,5492414,
%T A224052 11598655,23514508,45950300,86850332,159256653,284063565,494009870,
%U A224052 839363352,1395884951,2275822878,3642884361,5732370123,8877939920
%N A224052 Number of nX3 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing.
%C A224052 Column 3 of A224057
%H A224052 R. H. Hardin, <a href="/A224052/b224052.txt">Table of n, a(n) for n = 1..210</a>
%F A224052 Empirical: a(n) = (1/19160064)*n^12 + (5/3193344)*n^11 + (1627/43545600)*n^10 + (751/1451520)*n^9 + (3247/580608)*n^8 + (18607/483840)*n^7 + (11286841/43545600)*n^6 + (1893037/1451520)*n^5 + (2032151/435456)*n^4 + (1618571/362880)*n^3 + (7125527/831600)*n^2 + (241067/27720)*n - 9 for n>1
%e A224052 Some solutions for n=3
%e A224052 ..0..1..0....2..1..0....1..0..0....0..0..0....1..2..1....2..1..0....0..0..0
%e A224052 ..2..1..0....2..2..1....1..1..0....0..0..1....2..2..0....2..0..0....1..2..0
%e A224052 ..1..1..2....2..2..1....2..1..1....2..2..2....2..1..0....1..0..0....2..1..0
%K A224052 nonn
%O A224052 1,1
%A A224052 _R. H. Hardin_ Mar 30 2013