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.

A224058 Number of nX2 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.

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%I A224058 #7 Jul 23 2025 04:58:47
%S A224058 16,160,984,4580,17723,59792,180821,499357,1276595,3053471,6892199,
%T A224058 14784563,30317821,59727346,113515445,208880837,373286086,649594326,
%U A224058 1103335758,1832822970,2983026931,4764357840,7477772697,11547960881
%N A224058 Number of nX2 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.
%C A224058 Column 2 of A224064
%H A224058 R. H. Hardin, <a href="/A224058/b224058.txt">Table of n, a(n) for n = 1..210</a>
%F A224058 Empirical: a(n) = (1/19160064)*n^12 + (1/456192)*n^11 + (2287/43545600)*n^10 + (215/290304)*n^9 + (2861/414720)*n^8 + (7187/161280)*n^7 + (10695901/43545600)*n^6 + (212027/207360)*n^5 + (6072841/2177280)*n^4 + (1652783/362880)*n^3 + (1059277/237600)*n^2 + (26023/13860)*n + 1
%e A224058 Some solutions for n=3
%e A224058 ..3..0....2..3....1..1....0..0....0..0....2..1....0..0....0..3....1..0....0..0
%e A224058 ..1..3....3..3....1..2....1..1....2..1....1..3....3..0....1..3....2..2....0..0
%e A224058 ..1..1....2..3....2..3....1..2....2..3....0..1....0..3....2..2....1..3....2..0
%K A224058 nonn
%O A224058 1,1
%A A224058 _R. H. Hardin_ Mar 30 2013