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A203931 Number of (n+1)X6 0..5 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements 1

%I #5 Mar 31 2012 12:37:00

%S 5797836,1456391916,428652828396,132923754354276,41849462653189056,

%T 13240165438571137236,4194818908674768075816,

%U 1329613550411791356941796,421496818837835140293344676,133622819257731019101917616456

%N Number of (n+1)X6 0..5 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

%C Column 5 of A203934

%H R. H. Hardin, <a href="/A203931/b203931.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 386*a(n-1) -15955*a(n-2) -2235050*a(n-3) +117771875*a(n-4) -1014525625*a(n-5) -17281937500*a(n-6) +226670750000*a(n-7) -231608437500*a(n-8) -3045281250000*a(n-9) +3447531250000*a(n-10) +4756093750000*a(n-11) -4337500000000*a(n-12)

%e Some solutions for n=4

%e ..5..4..0..2..4..5....0..5..4..5..5..5....2..0..1..1..0..4....1..5..5..2..0..1

%e ..5..5..4..0..2..4....5..1..5..1..5..3....4..2..0..1..1..0....0..1..5..5..2..0

%e ..3..5..5..4..0..2....3..5..0..5..4..5....3..4..2..0..1..1....5..0..1..5..5..2

%e ..0..3..5..5..4..0....0..3..5..2..5..1....1..3..4..2..0..1....2..5..0..1..5..5

%e ..4..0..3..5..5..4....1..0..3..5..0..5....5..1..3..4..2..0....3..2..5..0..1..5

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 08 2012

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Last modified April 24 05:40 EDT 2024. Contains 371918 sequences. (Running on oeis4.)