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 A250955 Number of (n+1) X (7+1) 0..1 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element. 1

%I #6 Sep 03 2022 23:08:59

%S 40545,6588344,1068793208,173396103624,28130774228952,

%T 4563772381621072,740399698245965774,120118108984608820672,

%U 19487258188664690627928,3161498585197751785301512,512903006004112848693757874

%N Number of (n+1) X (7+1) 0..1 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

%C Column 7 of A250956.

%H R. H. Hardin, <a href="/A250955/b250955.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 217*a(n-1) -9657*a(n-2) +124578*a(n-3) +170544*a(n-4) -10015311*a(n-5) +58649394*a(n-6) -123233697*a(n-7) -48475236*a(n-8) +586861054*a(n-9) -648215662*a(n-10) -98069529*a(n-11) +412774803*a(n-12) -157024008*a(n-13) -1439235*a(n-14) +9306900*a(n-15) -1445850*a(n-16).

%e Some solutions for n=1

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

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

%Y Cf. A250956.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2014

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Last modified September 16 00:43 EDT 2024. Contains 375959 sequences. (Running on oeis4.)