login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A251190 Number of (n+2)X(5+2) 0..1 arrays with nondecreasing sum of every three consecutive values in every row and column 1
46656, 466560, 4665600, 46656000, 259200000, 1440000000, 8000000000, 31500000000, 124031250000, 488373046875, 1531537875000, 4802902776000, 15061903105536, 40165074948096, 107106866528256, 285618310742016 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A251192

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..145

FORMULA

Empirical: a(n) = 2*a(n-1) -a(n-2) +20*a(n-3) -40*a(n-4) +20*a(n-5) -190*a(n-6) +380*a(n-7) -190*a(n-8) +1140*a(n-9) -2280*a(n-10) +1140*a(n-11) -4845*a(n-12) +9690*a(n-13) -4845*a(n-14) +15504*a(n-15) -31008*a(n-16) +15504*a(n-17) -38760*a(n-18) +77520*a(n-19) -38760*a(n-20) +77520*a(n-21) -155040*a(n-22) +77520*a(n-23) -125970*a(n-24) +251940*a(n-25) -125970*a(n-26) +167960*a(n-27) -335920*a(n-28) +167960*a(n-29) -184756*a(n-30) +369512*a(n-31) -184756*a(n-32) +167960*a(n-33) -335920*a(n-34) +167960*a(n-35) -125970*a(n-36) +251940*a(n-37) -125970*a(n-38) +77520*a(n-39) -155040*a(n-40) +77520*a(n-41) -38760*a(n-42) +77520*a(n-43) -38760*a(n-44) +15504*a(n-45) -31008*a(n-46) +15504*a(n-47) -4845*a(n-48) +9690*a(n-49) -4845*a(n-50) +1140*a(n-51) -2280*a(n-52) +1140*a(n-53) -190*a(n-54) +380*a(n-55) -190*a(n-56) +20*a(n-57) -40*a(n-58) +20*a(n-59) -a(n-60) +2*a(n-61) -a(n-62)

Empirical for n mod 3 = 0: a(n) = (1/144603922678272)*n^21 + (25/24100653779712)*n^20 + (1183/16067102519808)*n^19 + (8807/2677850419968)*n^18 + (92569/892616806656)*n^17 + (365155/148769467776)*n^16 + (1496249/33059881728)*n^15 + (407759/612220032)*n^14 + (19465669/2448880128)*n^13 + (285580225/3673320192)*n^12 + (1535707099/2448880128)*n^11 + (1707608047/408146688)*n^10 + (392533463/17006112)*n^9 + (74369693/708588)*n^8 + (369121789/944784)*n^7 + (61815875/52488)*n^6 + (687176/243)*n^5 + (427478/81)*n^4 + (132691/18)*n^3 + 7245*n^2 + 4464*n + 1296

Empirical for n mod 3 = 1: a(n) = (1/144603922678272)*n^21 + (25/24100653779712)*n^20 + (889/12050326889856)*n^19 + (239221/72301961339136)*n^18 + (1686701/16067102519808)*n^17 + (10065229/4016775629952)*n^16 + (4397456/94143178827)*n^15 + (2798441845/4016775629952)*n^14 + (135764613539/16067102519808)*n^13 + (6089990996831/72301961339136)*n^12 + (8369770760039/12050326889856)*n^11 + (114542661774923/24100653779712)*n^10 + (3902341436624303/144603922678272)*n^9 + (254596627215455/2008387814976)*n^8 + (30719033848175/62762119218)*n^7 + (144690929066500/94143178827)*n^6 + (121196895610000/31381059609)*n^5 + (237886638800000/31381059609)*n^4 + (3162196064000000/282429536481)*n^3 + (1101717760000000/94143178827)*n^2 + (726387200000000/94143178827)*n + (681472000000000/282429536481)

Empirical for n mod 3 = 2: a(n) = (1/144603922678272)*n^21 + (25/24100653779712)*n^20 + (1183/16067102519808)*n^19 + (237803/72301961339136)*n^18 + (833321/8033551259904)*n^17 + (3288409/1338925209984)*n^16 + (1092133037/24100653779712)*n^15 + (2681321347/4016775629952)*n^14 + (14242869461/1785233613312)*n^13 + (5653090729399/72301961339136)*n^12 + (30480700203433/48201307559424)*n^11 + (34010689997239/8033551259904)*n^10 + (424060067756677/18075490334784)*n^9 + (107723371161847/1004193907488)*n^8 + (134594934647677/334731302496)*n^7 + (1841307277762673/1506290861232)*n^6 + (93062407453967/31381059609)*n^5 + (19537642954025/3486784401)*n^4 + (2243414309843000/282429536481)*n^3 + (747917046310000/94143178827)*n^2 + (156802587200000/31381059609)*n + (419677512800000/282429536481)

EXAMPLE

Some solutions for n=1

..0..0..1..0..1..1..0....0..0..1..0..0..1..0....0..0..0..0..1..1..0

..1..1..1..1..1..1..1....0..1..1..0..1..1..1....1..0..0..1..1..1..1

..0..1..0..0..1..1..1....0..0..0..1..1..0..1....0..0..1..1..0..1..1

CROSSREFS

Sequence in context: A103950 A057068 A223510 * A175755 A223562 A016866

Adjacent sequences:  A251187 A251188 A251189 * A251191 A251192 A251193

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 30 2014

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 17 22:17 EDT 2019. Contains 324200 sequences. (Running on oeis4.)