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%I #4 Dec 19 2014 11:37:18
%S 2230,10259,39492,95904,448323,1848350,4416767,21690676,92632549,
%T 215263202,1102681029,4817209197,10969594133,57815579003,256126895043,
%U 575854261780,3089052609134,13798462237870,30788679240521
%N Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7
%C Row 4 of A252640
%H R. H. Hardin, <a href="/A252644/b252644.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 150*a(n-3) -8737*a(n-6) +259868*a(n-9) -4430048*a(n-12) +47350454*a(n-15) -340156437*a(n-18) +1738274612*a(n-21) -6622942497*a(n-24) +19454338570*a(n-27) -44675220248*a(n-30) +79646734248*a(n-33) -107698827864*a(n-36) +107079631646*a(n-39) -75929658840*a(n-42) +37409311284*a(n-45) -12501763424*a(n-48) +2743088704*a(n-51) -371898368*a(n-54) +27607040*a(n-57) -819200*a(n-60) for n>62
%e Some solutions for n=4
%e ..2..1..1..2..1..1....1..1..2..1..1..2....2..3..2..2..3..2....2..2..0..2..2..0
%e ..0..1..3..3..1..0....1..3..3..1..0..3....3..0..1..3..0..1....1..0..3..1..3..3
%e ..0..3..1..0..3..1....3..1..0..3..1..3....0..2..2..3..2..2....2..0..2..2..3..2
%e ..2..1..1..2..1..1....1..1..2..1..1..2....2..3..2..2..0..2....2..2..3..2..2..3
%e ..3..1..3..0..1..3....1..0..3..1..3..3....0..3..1..0..3..1....1..0..3..1..3..3
%e ..0..3..1..3..3..1....3..1..3..0..1..3....3..2..2..3..2..2....2..3..2..2..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 19 2014
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