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A223671 Number of 4Xn 0..1 arrays with rows, diagonals and antidiagonals unimodal 1

%I #4 Mar 25 2013 09:38:31

%S 16,256,1723,6454,18980,49561,119150,267643,567197,1142224,2198273,

%T 4062420,7238132,12477929,20877528,33995513,54002935,83867606,

%U 127578211,190413722,279263958,403007495,572953490,803354343,1111996481,1520876908

%N Number of 4Xn 0..1 arrays with rows, diagonals and antidiagonals unimodal

%C Row 4 of A223669

%H R. H. Hardin, <a href="/A223671/b223671.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/112)*n^8 - (19/210)*n^7 + (59/45)*n^6 - (61/120)*n^5 - (8789/144)*n^4 + (99083/120)*n^3 - (10598579/2520)*n^2 + (1548737/140)*n - 11539 for n>6

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 25 2013

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Last modified April 18 11:52 EDT 2024. Contains 371779 sequences. (Running on oeis4.)