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!)
A253734 Number of (n+2)X(2+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically 1

%I #4 Jan 11 2015 08:04:46

%S 720,1888,4100,9876,25012,60296,148328,369360,917504,2284292,5685480,

%T 14168096,35364992,88266608,220224348,549719568,1372906300,3428376580,

%U 8559482304,21374102868,53382093000,133313369596,332909642184

%N Number of (n+2)X(2+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically

%C Column 2 of A253740

%H R. H. Hardin, <a href="/A253734/b253734.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-3) +24*a(n-4) +17*a(n-5) -21*a(n-6) -193*a(n-7) -221*a(n-8) -167*a(n-9) +437*a(n-10) +997*a(n-11) +983*a(n-12) +100*a(n-13) -2223*a(n-14) -2468*a(n-15) -1870*a(n-16) +2408*a(n-17) +3395*a(n-18) +3858*a(n-19) -1780*a(n-20) -3730*a(n-21) -1293*a(n-22) +978*a(n-23) +8179*a(n-24) -4880*a(n-25) -4479*a(n-26) -13933*a(n-27) -3879*a(n-28) +14170*a(n-29) +16050*a(n-30) +15183*a(n-31) -5070*a(n-32) -14961*a(n-33) -14077*a(n-34) -2352*a(n-35) +6581*a(n-36) +12047*a(n-37) -2573*a(n-38) -7587*a(n-39) -6031*a(n-40) +1173*a(n-41) +2563*a(n-42) +7812*a(n-43) +393*a(n-44) -5243*a(n-45) -1567*a(n-46) +1375*a(n-47) +598*a(n-48) +1763*a(n-49) +251*a(n-50) -874*a(n-51) -214*a(n-52) -164*a(n-53) +56*a(n-54) +8*a(n-55) for n>60

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 11 2015

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 July 18 11:13 EDT 2024. Contains 374378 sequences. (Running on oeis4.)