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A256730 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum zero and no antidiagonal sum three 1

%I #4 Apr 09 2015 12:31:26

%S 13056,186624,2267136,30294016,388595712,5101387776,65927512064,

%T 859759181824,11156772618240,145188233150464,1886191427256320,

%U 24528150473998336,318786248816721920,4144523593872572416

%N Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum zero and no antidiagonal sum three

%C Column 3 of A256735

%H R. H. Hardin, <a href="/A256730/b256730.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -608*a(n-3) +2560*a(n-4) -20480*a(n-5) +41984*a(n-6) +190464*a(n-7) -286720*a(n-8) +1212416*a(n-9) -2686976*a(n-10) -11141120*a(n-11) +10485760*a(n-12) +8388608*a(n-13) +25165824*a(n-15) -16777216*a(n-16)

%e Some solutions for n=2

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

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

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

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

%Y Cf. A256735

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2015

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)