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.

A224026 Number of 4Xn 0..3 arrays with rows nondecreasing and antidiagonals unimodal.

This page as a plain text file.
%I A224026 #6 Jul 23 2025 04:53:54
%S A224026 256,10000,112436,772683,4002738,16861106,60614473,192152734,
%T A224026 549805730,1444560196,3531148666,8113219067,17664791690,36688857572,
%U A224026 73086084181,140275448000,260397984212,469049039484,822128311864,1405576043323
%N A224026 Number of 4Xn 0..3 arrays with rows nondecreasing and antidiagonals unimodal.
%C A224026 Row 4 of A224024
%H A224026 R. H. Hardin, <a href="/A224026/b224026.txt">Table of n, a(n) for n = 1..210</a>
%F A224026 Empirical: a(n) = (3551/47900160)*n^12 + (89357/39916800)*n^11 + (787537/21772800)*n^10 + (54391/145152)*n^9 + (3628073/1451520)*n^8 + (219389/19200)*n^7 + (790310011/21772800)*n^6 + (11979533/145152)*n^5 + (26980967/217728)*n^4 + (119696723/907200)*n^3 + (46358119/831600)*n^2 + (56717/396)*n + 52 for n>2
%e A224026 Some solutions for n=3
%e A224026 ..0..0..3....0..2..2....0..1..1....0..1..1....1..1..3....0..2..3....0..1..3
%e A224026 ..0..2..2....1..1..1....0..0..3....2..2..3....2..2..3....3..3..3....0..2..3
%e A224026 ..2..3..3....0..0..0....0..0..2....0..3..3....0..2..3....0..2..2....2..2..2
%e A224026 ..0..0..1....0..1..2....0..2..2....1..3..3....0..2..2....1..3..3....0..1..3
%K A224026 nonn
%O A224026 1,1
%A A224026 _R. H. Hardin_ Mar 30 2013