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A224060 Number of nX4 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.

%I A224060 #6 Jul 23 2025 04:58:59
%S A224060 130,4580,58814,506513,3509115,21167501,114643788,564290412,
%T A224060 2542634801,10557558941,40668731568,146309729951,494716846368,
%U A224060 1581405249972,4804031345110,13933344725622,38739584907398,103620108265460
%N A224060 Number of nX4 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.
%C A224060 Column 4 of A224064
%H A224060 R. H. Hardin, <a href="/A224060/b224060.txt">Table of n, a(n) for n = 1..210</a>
%F A224060 Empirical: a(n) = (1/2906843957821440000)*n^24 + (1/80745665495040000)*n^23 + (14503/17841281393295360000)*n^22 + (4577/187146308321280000)*n^21 + (57773/73169985208320000)*n^20 + (451967/24825530695680000)*n^19 + (25829959/64023737057280000)*n^18 + (161591629/21341245685760000)*n^17 + (1317174581/10042939146240000)*n^16 + (1042229807/684745850880000)*n^15 + (224775509633/15064408719360000)*n^14 + (255513067541/1076029194240000)*n^13 - (126037283815777/331416991825920000)*n^12 + (4311994432289/156920924160000)*n^11 - (290647612737067/2510734786560000)*n^10 + (5895362157233/4526565120000)*n^9 - (80296454539927819/32011868528640000)*n^8 + (2890170225407863/285820254720000)*n^7 + (6620255551080740287/152056375511040000)*n^6 - (119874811010411/95995186560000)*n^5 - (594949061071512629/422378820864000)*n^4 + (3927812632523993/279351072000)*n^3 - (77971408834461167/1562307626880)*n^2 + (50159875988069/1784742960)*n + 138193 for n>7
%e A224060 Some solutions for n=3
%e A224060 ..1..1..2..2....0..1..0..0....3..2..0..0....1..2..2..1....0..1..1..0
%e A224060 ..1..2..2..2....0..2..3..1....0..3..3..3....1..3..3..3....1..1..1..1
%e A224060 ..2..3..2..2....0..1..3..3....0..3..3..3....1..1..3..3....0..2..2..2
%K A224060 nonn
%O A224060 1,1
%A A224060 _R. H. Hardin_ Mar 30 2013