login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A201277 T(n,k)=Number of nXk 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other 8

%I

%S 3,3,3,1,5,1,3,4,4,3,3,12,7,12,3,1,16,14,14,16,1,3,9,21,85,21,9,3,3,

%T 27,41,199,199,41,27,3,1,33,54,143,556,143,54,33,1,3,16,86,740,442,

%U 442,740,86,16,3,3,48,120,1274,2827,1260,2827,1274,120,48,3,1,56,168,759,5680

%N T(n,k)=Number of nXk 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other

%C Table starts

%C .3..3...1....3.....3.....1......3.......3.......1........3........3........1

%C .3..5...4...12....16.....9.....27......33......16.......48.......56.......25

%C .1..4...7...14....21....41.....54......86.....120......168......218......307

%C .3.12..14...85...199...143....740....1274.....759.....3416.....5312.....2746

%C .3.16..21..199...556...442...2827....5680....3651....19960....35039....19820

%C .1..9..41..143...442..1260...3113....7331...15969....32737....63942...120318

%C .3.27..54..740..2827..3113..27008...71704...59070...408600...894812...621910

%C .3.33..86.1274..5680..7331..71704..215577..200867..1537010..3717215..2850024

%C .1.16.120..759..3651.15969..59070..200867..613916..1755850..4655000.11705266

%C .3.48.168.3416.19960.32737.408600.1537010.1755850.16442049.47956581.43851889

%H R. H. Hardin, <a href="/A201277/b201277.txt">Table of n, a(n) for n = 1..684</a>

%F T(n,1) = binomial(3,n modulo 3). For a 0..z array, T(n,1) = binomial(z+1, n modulo (z+1)).

%e Some solutions for n=7 k=5

%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..1

%e ..0..0..0..1..1....0..0..0..0..1....0..0..0..0..2....0..0..0..1..1

%e ..0..1..1..1..1....0..0..1..1..1....0..0..0..1..2....0..0..0..1..2

%e ..0..1..2..2..2....1..1..2..2..2....1..1..1..1..2....0..0..1..2..2

%e ..0..1..2..2..2....1..1..2..2..2....1..1..1..2..2....1..1..1..2..2

%e ..0..1..2..2..2....1..1..2..2..2....1..1..2..2..2....1..1..2..2..2

%e ..1..1..2..2..2....1..1..2..2..2....1..2..2..2..2....1..2..2..2..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Nov 29 2011

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 April 8 22:35 EDT 2020. Contains 333331 sequences. (Running on oeis4.)