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A253323 Number of (n+1)X(5+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw 1

%I

%S 676,2797,11506,23153,58505,98741,210417,349857,705922,1217364,

%T 2426173,4388311,8749975,16462924,32895785,63545030,127119746,

%U 249438950,499146913,988089345,1977131937,3932608792,7867888425,15689851768

%N Number of (n+1)X(5+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw

%C Column 5 of A253326

%H R. H. Hardin, <a href="/A253323/b253323.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +2*a(n-2) -26*a(n-3) +16*a(n-4) +62*a(n-5) -70*a(n-6) -62*a(n-7) +109*a(n-8) +14*a(n-9) -76*a(n-10) +16*a(n-11) +20*a(n-12) -8*a(n-13) for n>22

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014

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Last modified August 19 16:39 EDT 2022. Contains 356229 sequences. (Running on oeis4.)