A269051 - OEIS

%I #4 Feb 18 2016 11:37:56

%S 768,9864,253416,6053094,140497512,3193266318,71430596250,

%T 1577976495486,34509932303172,748499855355192,16122334931683590,

%U 345226129034011068,7354858033380328494,156000244649213353110,3296017711974478218258

%N Number of nX7 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.

%C Column 7 of A269052.

%H R. H. Hardin, <a href="/A269051/b269051.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 82*a(n-1) -2779*a(n-2) +50254*a(n-3) -514677*a(n-4) +2743554*a(n-5) -2950648*a(n-6) -48609034*a(n-7) +245316224*a(n-8) -89432156*a(n-9) -2444502643*a(n-10) +5704858072*a(n-11) +7254972423*a(n-12) -41716035658*a(n-13) +18035762825*a(n-14) +132606292618*a(n-15) -178302990168*a(n-16) -171928095488*a(n-17) +491624257303*a(n-18) -70904009836*a(n-19) -621985038704*a(n-20) +477824279660*a(n-21) +281672875548*a(n-22) -522707244404*a(n-23) +119050620101*a(n-24) +190519380818*a(n-25) -140300285301*a(n-26) +10246766686*a(n-27) +24709126330*a(n-28) -9478840252*a(n-29) -368991021*a(n-30) +964165580*a(n-31) -172681320*a(n-32) -20355920*a(n-33) +9906636*a(n-34) -719568*a(n-35) -120720*a(n-36) +22272*a(n-37) -1024*a(n-38) for n>39

%e Some solutions for n=2

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

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

%Y Cf. A269052.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 18 2016