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 A251825 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6 1

%I

%S 22266,75498,397474,1692106,10655426,60427490,266585018,1720131962,

%T 9899825738,44110390034,286549040066,1655932624738,7402688238938,

%U 48189908925410,278843662602562,1247991528395130,8129795907826714

%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6

%C Column 4 of A251829

%H R. H. Hardin, <a href="/A251825/b251825.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -10*a(n-2) +256*a(n-3) -1507*a(n-4) +2504*a(n-5) -15622*a(n-6) +86462*a(n-7) -142108*a(n-8) +104437*a(n-9) -212868*a(n-10) +227032*a(n-11) +9673462*a(n-12) -58703401*a(n-13) +99055038*a(n-14) -187281492*a(n-15) +830215952*a(n-16) -1307749696*a(n-17) +927570696*a(n-18) -1688149788*a(n-19) +1067551368*a(n-20) -205352576*a(n-21) +1585658048*a(n-22) +6765516160*a(n-23) -12868444160*a(n-24) +4796420096*a(n-25) +233971712*a(n-26) for n>28

%e Some solutions for n=2

%e ..2..0..2..3..2..0....0..0..1..0..3..1....0..1..3..1..0..1....1..0..3..1..3..3

%e ..2..1..2..1..2..1....2..2..3..2..2..0....0..2..0..2..3..2....0..2..2..0..2..2

%e ..3..1..0..1..0..1....3..3..1..0..0..1....1..2..1..2..1..2....1..0..3..1..3..3

%e ..3..2..3..2..3..2....0..3..1..3..3..1....1..0..1..3..1..3....1..3..3..1..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 09 2014

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Last modified November 26 17:52 EST 2021. Contains 349343 sequences. (Running on oeis4.)