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!)
A234055 Number of (1+2)X(n+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards 1

%I

%S 16488,367857,8226630,184027176,4114129859,91973148874,2055997586633,

%T 45960182004045,1027397134713634,22966489726843437,513393765537961480,

%U 11476422031054555693,256544314398972405775,5734799925438397033971

%N Number of (1+2)X(n+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards

%C Row 1 of A234054

%H R. H. Hardin, <a href="/A234055/b234055.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 26*a(n-1) -2050*a(n-3) +3513*a(n-4) +37514*a(n-5) -38287*a(n-6) -146641*a(n-7) -648088*a(n-8) +422085*a(n-9) +6295334*a(n-10) -26687214*a(n-11) +42970321*a(n-12) +154270575*a(n-13) -296136092*a(n-14) +103796617*a(n-15) -592111595*a(n-16) -731932280*a(n-17) +1839743877*a(n-18) -1136679167*a(n-19) +1914973077*a(n-20) +3673514333*a(n-21) -4204799994*a(n-22) -980871943*a(n-23) -377031154*a(n-24) -1698215542*a(n-25) +2092098221*a(n-26) +520043633*a(n-27) -565923293*a(n-28) +27963876*a(n-29) +3578016*a(n-30) -237600*a(n-31) +3600*a(n-32)

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2013

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 October 26 05:15 EDT 2020. Contains 338027 sequences. (Running on oeis4.)