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%I #6 Jul 28 2022 03:43:13
%S 8,64,352,1479,5233,16845,52532,166076,545443,1866509,6584260,
%T 23605163,85081408,306598781,1103114341,3965858837,14265857551,
%U 51394273661,185496356237,670659535731,2428046038680,8798879746069,31906100994095
%N Number of n X 7 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.
%C Column 7 of A223949.
%H R. H. Hardin, <a href="/A223948/b223948.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) -20*a(n-2) +11*a(n-3) +23*a(n-4) -32*a(n-5) +18*a(n-6) -37*a(n-7) +65*a(n-8) -257*a(n-9) -274*a(n-10) -1437*a(n-11) +3612*a(n-12) +1576*a(n-13) +6921*a(n-14) +449*a(n-15) +4935*a(n-16) +22314*a(n-17) +7279*a(n-18) -8809*a(n-19) -58688*a(n-20) -81734*a(n-21) -86761*a(n-22) -2940*a(n-23) -21650*a(n-24) +16326*a(n-25) +13737*a(n-26) +26159*a(n-27) +10634*a(n-28) +2502*a(n-29) -384*a(n-30) -24*a(n-31) -80*a(n-32) -16*a(n-33).
%e Some solutions for n=3
%e ..0..0..1..1..1..1..1....0..0..0..0..0..1..1....0..0..0..0..0..1..1
%e ..0..1..1..1..1..1..1....0..0..0..0..1..1..1....0..1..1..1..1..1..1
%e ..0..0..0..0..0..0..1....0..0..0..0..0..0..1....0..0..1..1..1..1..1
%Y Cf. A223949.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 29 2013
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