login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A224060 Number of nX4 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing 1
130, 4580, 58814, 506513, 3509115, 21167501, 114643788, 564290412, 2542634801, 10557558941, 40668731568, 146309729951, 494716846368, 1581405249972, 4804031345110, 13933344725622, 38739584907398, 103620108265460 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A224064

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

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

EXAMPLE

Some solutions for n=3

..1..1..2..2....0..1..0..0....3..2..0..0....1..2..2..1....0..1..1..0

..1..2..2..2....0..2..3..1....0..3..3..3....1..3..3..3....1..1..1..1

..2..3..2..2....0..1..3..3....0..3..3..3....1..1..3..3....0..2..2..2

CROSSREFS

Sequence in context: A224169 A223860 A223983 * A224046 A224277 A224200

Adjacent sequences:  A224057 A224058 A224059 * A224061 A224062 A224063

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 30 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 3 08:16 EDT 2022. Contains 355031 sequences. (Running on oeis4.)