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A224570 Number of (n+5)X6 0..1 matrices with each 6X6 subblock idempotent 1

%I #4 Apr 10 2013 18:31:26

%S 96608,18044,16696,18868,22096,25769,28708,33705,40120,50747,67088,

%T 91787,125249,171289,230543,308919,413997,558937,759651,1041635,

%U 1432497,1971637,2708903,3714751,5085273,6961121,9533251,13070447,17936977

%N Number of (n+5)X6 0..1 matrices with each 6X6 subblock idempotent

%C Column 1 of A224577

%H R. H. Hardin, <a href="/A224570/b224570.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -2*a(n-2) +2*a(n-3) -a(n-4) +2*a(n-6) -3*a(n-7) +4*a(n-8) -4*a(n-9) +3*a(n-10) -2*a(n-11) -2*a(n-14) +2*a(n-15) -2*a(n-16) +2*a(n-17) -a(n-18) +a(n-19) for n>30

%e Some solutions for n=2

%e ..1..1..0..1..0..1....1..0..0..0..0..0....0..0..0..0..0..0....1..1..1..0..1..0

%e ..0..0..0..0..0..0....0..0..1..1..1..0....0..0..0..0..0..0....0..0..0..0..0..0

%e ..0..1..1..0..1..1....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0

%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0

%e ..0..0..0..0..0..0....0..0..1..1..1..0....1..0..0..0..0..1....0..0..0..0..0..0

%e ..0..0..0..0..0..0....0..0..0..0..0..0....1..0..0..0..0..1....0..0..0..0..0..0

%e ..0..0..0..0..0..0....0..0..1..1..1..0....1..0..0..0..0..1....0..0..0..0..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 10 2013

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Last modified February 21 20:02 EST 2024. Contains 370237 sequences. (Running on oeis4.)