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!)
A206165 Number of (n+1)X5 0..3 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order 1

%I

%S 5257,196078,13899222,526154358,37242588902,1412613762182,

%T 99795262195942,3792559398258150,267412693827257062,

%U 10182112342596159814,716565655722012651878,27336312034927725448230,1920135265326220468069670

%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order

%C Column 4 of A206169

%H R. H. Hardin, <a href="/A206165/b206165.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2697*a(n-2) -2261*a(n-3) -62984*a(n-4) +18588*a(n-5) +148188*a(n-6) +441756*a(n-7) -1398384*a(n-8) +632448*a(n-9) +6137856*a(n-10) for n>11

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 04 2012

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 17 00:35 EDT 2021. Contains 348048 sequences. (Running on oeis4.)