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!)
A267975 Number of 1 X n 0..3 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value. 3

%I #8 Feb 26 2018 08:21:53

%S 4,16,64,250,964,3674,13868,51917,192980,712868,2618876,9573915,

%T 34845780,126322410,456285828,1642687662,5895922368,21102304252,

%U 75332038300,268275675007,953247943192,3380004168904,11961143709736,42249741430325

%N Number of 1 X n 0..3 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

%C Row 1 of A267974.

%H R. H. Hardin, <a href="/A267975/b267975.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) - 50*a(n-2) + 72*a(n-3) + 21*a(n-4) - 72*a(n-5) - 50*a(n-6) - 12*a(n-7) -a(n-8).

%F Empirical g.f.: x*(4 - 32*x + 72*x^2 - 6*x^3 - 72*x^4 - 50*x^5 - 12*x^6 - x^7) / (1 - 3*x - x^2)^4. - _Colin Barker_, Feb 26 2018

%e Some solutions for n=8:

%e ..0..0..3..1..1..2..2..1....3..2..0..1..3..2..1..1....2..1..2..2..0..1..2..1

%Y Cf. A267974.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 23 2016

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 August 2 10:23 EDT 2024. Contains 374838 sequences. (Running on oeis4.)