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A218196 T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..3 nXk array 10

%I

%S 1,3,3,7,15,7,15,63,63,15,29,251,507,251,29,57,1001,4067,4067,1001,57,

%T 113,4001,32529,65251,32529,4001,113,225,16001,260205,1044001,1044001,

%U 260205,16001,225,449,63985,2081511,16703113,33407143,16703113,2081511

%N T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..3 nXk array

%C Table starts

%C ....1........3...........7.............15...............29................57

%C ....3.......15..........63............251.............1001..............4001

%C ....7.......63.........507...........4067............32529............260205

%C ...15......251........4067..........65251..........1044001..........16703113

%C ...29.....1001.......32529........1044001.........33407143........1068969245

%C ...57.....4001......260205.......16703113.......1068969245.......68410191725

%C ..113....16001.....2081511......267240217......34205771911.....4378092248621

%C ..225....63985....16651157.....4275711525....1094550718437...280189181606213

%C ..449...255867...133202247....68409381991...35024601762415.17931584186079329

%C ..895..1023171..1065561647..1094518209251.1120754736783429

%C .1783..4091495..8524042607.17511781134639

%C .3551.16361227.68188735807

%H R. H. Hardin, <a href="/A218196/b218196.txt">Table of n, a(n) for n = 1..111</a>

%F Empirical: Column k=1 for an underlying 0..z array: a(n)=sum(i=1..2z+1){a(n-i)} z=1,2,3,4

%e Some solutions for n=3 k=4

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Oct 23 2012

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Last modified January 17 01:53 EST 2022. Contains 350377 sequences. (Running on oeis4.)