|
%I #4 Dec 12 2014 10:19:18
%S 6094,77488,1209382,19275074,308552418,4946174244,79312163374,
%T 1271825402952,20394818684346,327049548596494,5244541495917592,
%U 84101075559818272,1348638607315433582,21626668807811200848
%N Number of (n+2)X(2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 4 5 or 7
%C Column 2 of A252000
%H R. H. Hardin, <a href="/A251994/b251994.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 24*a(n-1) -146*a(n-2) +348*a(n-3) -1164*a(n-4) +4836*a(n-5) -3622*a(n-6) -2167*a(n-7) -25834*a(n-8) -163050*a(n-9) +625406*a(n-10) -454334*a(n-11) +2578135*a(n-12) -7179255*a(n-13) +2853363*a(n-14) -5172484*a(n-15) +13836604*a(n-16) +14687612*a(n-17) -18231993*a(n-18) +14004730*a(n-19) -28801385*a(n-20) -36509133*a(n-21) +1795386*a(n-22) -64105492*a(n-23) +83297541*a(n-24) +183178996*a(n-25) +1137065*a(n-26) +104540506*a(n-27) -274652431*a(n-28) -88206878*a(n-29) -62757693*a(n-30) -42543041*a(n-31) +147431061*a(n-32) -15278613*a(n-33) +193724145*a(n-34) -16582860*a(n-35) +46597400*a(n-36) -107625789*a(n-37) -97037637*a(n-38) +1243502*a(n-39) -33081040*a(n-40) +80697753*a(n-41) +2578165*a(n-42) +17682589*a(n-43) -592141*a(n-44) -11645550*a(n-45) -628800*a(n-46) -1596502*a(n-47) -119992*a(n-48) +651200*a(n-49) -25444*a(n-50) -117000*a(n-51) -288*a(n-52) -4608*a(n-53) for n>57
%e Some solutions for n=2
%e ..3..0..3..0....0..0..0..3....3..0..3..0....0..0..3..3....0..0..3..0
%e ..3..0..0..0....3..0..0..0....0..0..0..0....3..3..3..0....3..3..3..0
%e ..3..0..0..0....3..3..3..3....0..3..0..3....0..0..0..3....3..0..0..3
%e ..3..3..0..0....0..3..3..3....0..0..0..0....0..0..0..3....3..0..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 12 2014
| 