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!)
A278002 Number of nX4 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero. 1

%I

%S 0,364,16583,912870,49996267,2732579072,149393609720,8167589147618,

%T 446532771770396,24412539503593284,1334666071003250780,

%U 72967971344442853125,3989256160347007231716,218097946623385555664701

%N Number of nX4 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

%C Column 4 of A278006.

%H R. H. Hardin, <a href="/A278002/b278002.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 54*a(n-1) +54*a(n-2) -35*a(n-3) -50267*a(n-4) +7689*a(n-5) +722984*a(n-6) +16611930*a(n-7) -38867650*a(n-8) -203665870*a(n-9) -2178159552*a(n-10) +10904189241*a(n-11) +9521500912*a(n-12) +96247621374*a(n-13) -832529921736*a(n-14) +783846391578*a(n-15) -638308123090*a(n-16) +4207165387192*a(n-17) +15167623043434*a(n-18) -3239085455407*a(n-19) -216159459266853*a(n-20) +456210881272341*a(n-21) -489766379354346*a(n-22) +846280537764428*a(n-23) -1750328153951862*a(n-24) +3241846743632086*a(n-25) -4497705996178152*a(n-26) +3727531103245940*a(n-27) -2373760416573904*a(n-28) +1902940444911280*a(n-29) -947424490114208*a(n-30) -71651096569408*a(n-31) -46956457506944*a(n-32) +303088835011584*a(n-33) +18719597554176*a(n-34) -43380542306304*a(n-35) -49931254480896*a(n-36) +10781387587584*a(n-37) +10151390085120*a(n-38)

%e Some solutions for n=3

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

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

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

%Y Cf. A278006.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 08 2016

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 19 03:10 EDT 2021. Contains 348073 sequences. (Running on oeis4.)