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 A218206 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..2 nXk array 9
 1, 3, 3, 7, 15, 7, 13, 59, 59, 13, 25, 233, 483, 233, 25, 49, 929, 3841, 3841, 929, 49, 97, 3697, 30599, 61013, 30599, 3697, 97, 191, 14719, 243953, 971849, 971849, 243953, 14719, 191, 375, 58599, 1945103, 15491481, 30954777, 15491481, 1945103, 58599 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1........3...........7.............13...............25................49 ....3.......15..........59............233..............929..............3697 ....7.......59.........483...........3841............30599............243953 ...13......233........3841..........61013...........971849..........15491481 ...25......929.......30599.........971849.........30954777.........986715373 ...49.....3697......243953.......15491481........986715373.......62898202889 ...97....14719.....1945103......246985085......31459153095.....4010296932181 ..191....58599....15508803.....3937780585....1003007190421...255691410570153 ..375...233291...123654745....62780737565...31978263226027.16302319940388693 ..737...928769...985923281..1000923719573.1019542444050089 .1449..3697573..7860958915.15957894038581 .2849.14720617.62676962321 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA 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 EXAMPLE Some solutions for n=3 k=4 ..0..1..0..1....1..1..1..0....0..1..0..1....1..1..1..1....0..1..1..0 ..0..1..1..1....1..1..1..1....0..1..1..0....1..1..1..0....1..0..0..1 ..0..0..1..0....0..0..0..0....0..1..1..1....1..0..0..1....1..0..1..1 CROSSREFS Column 1 is A218199, see also A102026 Sequence in context: A049772 A119470 A060368 * A218233 A218319 A218196 Adjacent sequences:  A218203 A218204 A218205 * A218207 A218208 A218209 KEYWORD nonn,tabl AUTHOR R. H. Hardin Oct 23 2012 STATUS approved

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Last modified December 5 15:06 EST 2021. Contains 349557 sequences. (Running on oeis4.)