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A224582 Number of (n+6)X8 0..1 matrices with each 7X7 subblock idempotent 1

%I #4 Apr 11 2013 08:47:30

%S 164935,26918,22928,24643,26542,27611,28629,29006,34239,43678,55912,

%T 70122,87081,104589,122291,144899,177217,221460,280369,355102,447725,

%U 558187,690822,854927,1064482,1332274,1674432,2108903,2654002,3331481

%N Number of (n+6)X8 0..1 matrices with each 7X7 subblock idempotent

%C Column 2 of A224588

%H R. H. Hardin, <a href="/A224582/b224582.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -5*a(n-2) +7*a(n-3) -9*a(n-4) +11*a(n-5) -12*a(n-6) +13*a(n-7) -13*a(n-8) +12*a(n-9) -10*a(n-10) +7*a(n-11) -4*a(n-12) +3*a(n-14) -6*a(n-15) +8*a(n-16) -10*a(n-17) +11*a(n-18) -11*a(n-19) +11*a(n-20) -10*a(n-21) +9*a(n-22) -7*a(n-23) +6*a(n-24) -5*a(n-25) +4*a(n-26) -3*a(n-27) +2*a(n-28) -a(n-29) for n>39

%e Some solutions for n=2

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 11 2013

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)