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A257358 Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum 1

%I #4 Apr 20 2015 13:52:32

%S 45684,53824,112236,246016,482560,1196836,2980712,6240004,12771684,

%T 30294016,73190688,157101156,333866808,779191396,1825996900,

%U 3991206976,8669972808,19918805956,45934641144,101485570624,223394526672

%N Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum

%C Column 5 of A257361

%H R. H. Hardin, <a href="/A257358/b257358.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-3) +16*a(n-4) +8*a(n-5) +4*a(n-6) +2*a(n-7) +18*a(n-8) +6*a(n-9) -4*a(n-10) -18*a(n-11) -141*a(n-12) -60*a(n-13) +48*a(n-14) +18*a(n-15) -117*a(n-16) -66*a(n-17) +48*a(n-19) +279*a(n-20) +108*a(n-21) -12*a(n-22) -12*a(n-23) +15*a(n-24) +36*a(n-25) +16*a(n-26) -6*a(n-27) -36*a(n-28) -8*a(n-29) -4*a(n-30) -2*a(n-31) -a(n-32) -2*a(n-33) +a(n-36) for n>41

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A257361

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 20 2015

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Last modified April 25 07:41 EDT 2024. Contains 371964 sequences. (Running on oeis4.)