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 A223569 T(n,k)=Number of nXk 0..1 arrays with antidiagonals unimodal 7
 2, 4, 4, 8, 16, 8, 16, 64, 64, 16, 32, 256, 448, 256, 32, 64, 1024, 3136, 3136, 1024, 64, 128, 4096, 21952, 34496, 21952, 4096, 128, 256, 16384, 153664, 379456, 379456, 153664, 16384, 256, 512, 65536, 1075648, 4174016, 6071296, 4174016, 1075648 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.......4.........8..........16............32..............64 ....4......16........64.........256..........1024............4096 ....8......64.......448........3136.........21952..........153664 ...16.....256......3136.......34496........379456.........4174016 ...32....1024.....21952......379456.......6071296........97140736 ...64....4096....153664.....4174016......97140736......2137096192 ..128...16384...1075648....45914176....1554251776.....47016116224 ..256...65536...7529536...505055936...24868028416...1034354556928 ..512..262144..52706752..5555615296..397888454656..22755800252416 .1024.1048576.368947264.61111768256.6366215274496.500627605553152 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1000 FORMULA T(n,k) = product{ (1+(i*(i+1)/2))^2 , i=1..(min(n,k)-1) } * (1+(min(n,k)*(min(n,k)+1)/2))^(max(n,k)-min(n,k)+1) EXAMPLE Some solutions for n=4 k=4 ..1..0..0..0....0..1..0..1....1..0..1..0....0..1..0..0....0..0..1..0 ..1..1..1..0....1..1..1..1....0..1..0..0....0..0..1..1....0..1..1..1 ..0..0..0..1....1..1..0..1....0..1..1..1....0..1..0..1....0..1..1..0 ..0..1..0..0....1..0..1..0....1..0..0..1....0..0..1..1....1..1..1..0 CROSSREFS Column 1 is A000079 Column 2 is A000302 Sequence in context: A188910 A189111 A181217 * A227594 A321241 A290128 Adjacent sequences: A223566 A223567 A223568 * A223570 A223571 A223572 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 22 2013 STATUS approved

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Last modified September 16 17:53 EDT 2024. Contains 375976 sequences. (Running on oeis4.)