A252197 - OEIS

%I #6 May 25 2024 21:29:34

%S 1642,1313,5177,21928,92287,391996,1669356,7114929,30309104,129016093,

%T 549319099,2339547062,9963141907,42425232312,180661430088,

%U 769335984235,3276146397900,13951092432241,59409215104055,252988054381960

%N Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7.

%C Column 4 of A252201.

%H R. H. Hardin, <a href="/A252197/b252197.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +5*a(n-2) +14*a(n-3) +34*a(n-4) -16*a(n-5) -79*a(n-6) -150*a(n-7) -94*a(n-8) +581*a(n-9) +457*a(n-10) -913*a(n-11) -631*a(n-12) +692*a(n-13) +433*a(n-14) -236*a(n-15) -116*a(n-16) +72*a(n-17) -57*a(n-18) -32*a(n-19) +38*a(n-20) -15*a(n-21) +5*a(n-22) +11*a(n-23) -4*a(n-24) for n>28.

%e Some solutions for n=4

%e ..3..3..3..2..3..3....3..2..3..3..3..3....3..3..3..3..2..3....2..3..3..3..3..2

%e ..2..3..3..3..3..3....3..3..3..3..3..3....3..2..3..3..3..3....3..3..2..3..3..3

%e ..3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..2....3..3..3..3..3..3

%e ..3..3..3..3..3..3....3..3..3..3..3..3....2..3..3..3..3..3....3..2..3..3..3..2

%e ..3..3..3..3..2..3....3..3..3..3..3..2....3..3..3..3..3..3....3..3..3..3..3..3

%e ..3..2..3..3..3..3....3..2..3..3..3..3....3..2..3..3..3..3....3..3..2..3..3..3

%Y Cf. A252201.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014