A251005 - OEIS

%I #4 Nov 29 2014 15:29:36

%S 4083,218298,11671623,623999793,33363057374,1783834023550,

%T 95376750510010,5099532967837334,272658056636328001,

%U 14578279676192568678,779460690932745520038,41675628506308185007390,2228281723639205270839345

%N Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements

%C Column 3 of A251010

%H R. H. Hardin, <a href="/A251005/b251005.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 81*a(n-1) -1954*a(n-2) +32379*a(n-3) -419520*a(n-4) +4000383*a(n-5) -27981900*a(n-6) +149000935*a(n-7) -627790962*a(n-8) +2173730790*a(n-9) -6430085803*a(n-10) +16294231907*a(n-11) -32054037021*a(n-12) +35251149270*a(n-13) +27785627597*a(n-14) -214291598331*a(n-15) +474340001188*a(n-16) -525110612953*a(n-17) -51492530582*a(n-18) +1353650012855*a(n-19) -2781865247427*a(n-20) +3444068301525*a(n-21) -3009309907241*a(n-22) +1966627276737*a(n-23) -984303214776*a(n-24) +380879357640*a(n-25) -116690528485*a(n-26) +31239482235*a(n-27) -8714904964*a(n-28) +2491548140*a(n-29) -492231312*a(n-30) +38390400*a(n-31)

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014