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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.

A223929 Number of nX4 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.

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%I A223929 #6 Jul 23 2025 04:39:43
%S A223929 46,698,4498,21334,86439,316136,1065625,3337831,9773219,26903878,
%T A223929 70024867,173255292,409514526,928832014,2029581476,4287303027,
%U A223929 8781854785,17488776976,33939319272,64311697250,119202262153,216450903569
%N A223929 Number of nX4 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.
%C A223929 Column 4 of A223933
%H A223929 R. H. Hardin, <a href="/A223929/b223929.txt">Table of n, a(n) for n = 1..210</a>
%F A223929 Empirical: a(n) = (1/106748928000)*n^16 + (1/13343616000)*n^15 + (1/116756640)*n^14 + (4003/37362124800)*n^13 + (97199/28740096000)*n^12 + (670871/14370048000)*n^11 + (94057/130636800)*n^10 - (113957/261273600)*n^9 + (565001317/5225472000)*n^8 - (887457691/1306368000)*n^7 + (3190047029/359251200)*n^6 - (36838723231/718502400)*n^5 + (4745796217531/15567552000)*n^4 - (170787179737/162162000)*n^3 + (51300697729/21621600)*n^2 - (74839579/180180)*n - 7017 for n>6
%e A223929 Some solutions for n=3
%e A223929 ..2..2..0..0....1..2..0..0....0..2..2..2....0..1..1..0....1..2..1..0
%e A223929 ..0..2..2..1....1..2..2..2....0..0..2..2....0..0..2..1....1..1..2..1
%e A223929 ..0..0..2..2....1..2..2..2....0..0..0..2....0..0..0..2....0..1..2..2
%K A223929 nonn
%O A223929 1,1
%A A223929 _R. H. Hardin_ Mar 29 2013