A218808 - OEIS

%I #4 Nov 06 2012 17:41:53

%S 57,3969,253877,16247233,1039681033,66531801953,4257533926265,

%T 272450106560337,17434754733893533,1115692985511411585,

%U 71395947744679117981,4568802905958678422033,292368974050746244520769

%N Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 nX6 array

%C Column 6 of A218810

%H R. H. Hardin, <a href="/A218808/b218808.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 57*a(n-1) +408*a(n-2) +2352*a(n-3) +10680*a(n-4) +26020*a(n-5) +59588*a(n-6) +87840*a(n-7) -45636*a(n-8) +146168*a(n-9) +29244*a(n-10) -378096*a(n-11) +362168*a(n-12) +129076*a(n-13) -1017660*a(n-14) +794960*a(n-15) -355406*a(n-16) -41886*a(n-17) +455324*a(n-18) -254128*a(n-19) +23976*a(n-20) +76396*a(n-21) -66708*a(n-22) -6720*a(n-23) +28844*a(n-24) -10192*a(n-25) -7116*a(n-26) +7152*a(n-27) -3096*a(n-28) -1092*a(n-29) +1164*a(n-30) -432*a(n-31) -25*a(n-32) +61*a(n-33) -36*a(n-34) for n>35

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 06 2012