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 A297607 T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s. 13
 2, 4, 4, 7, 11, 8, 13, 35, 35, 16, 24, 96, 181, 106, 32, 44, 281, 787, 953, 327, 64, 81, 829, 3691, 6413, 4997, 1003, 128, 149, 2428, 17186, 49198, 52512, 26155, 3082, 256, 274, 7059, 80140, 368007, 654033, 429491, 137033, 9465, 512, 504, 20611, 371557 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...2.....4.......7........13..........24............44..............81 ...4....11......35........96.........281...........829............2428 ...8....35.....181.......787........3691.........17186...........80140 ..16...106.....953......6413.......49198........368007.........2781983 ..32...327....4997.....52512......654033.......7847849........95770934 ..64..1003...26155....429491.....8689859.....167209522......3295502717 .128..3082..137033...3514058...115571432....3567494618....113592447685 .256..9465..717905..28752016..1536728161...76095857063...3914150992637 .512.29073.3760657.235246416.20433704585.1623142226575.134873268392766 LINKS R. H. Hardin, Table of n, a(n) for n = 1..220 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 2*a(n-1) +3*a(n-2) +a(n-3) -a(n-5) k=3: [order 11] k=4: [order 32] k=5: [order 55] Empirical for row n: n=1: a(n) = a(n-1) +a(n-2) +a(n-3) n=2: a(n) = a(n-1) +3*a(n-2) +4*a(n-3) +12*a(n-4) -12*a(n-6) n=3: [order 13] n=4: [order 34] n=5: [order 96] EXAMPLE Some solutions for n=4 k=4 ..1..0..1..0. .0..0..1..0. .0..0..0..1. .0..0..1..0. .1..0..1..1 ..0..0..1..0. .1..0..0..1. .1..0..1..0. .0..0..0..1. .1..0..0..0 ..0..0..0..0. .0..1..0..1. .1..0..0..0. .0..0..0..0. .0..0..0..1 ..1..0..1..1. .0..1..0..1. .0..0..1..1. .0..1..0..0. .0..1..1..1 CROSSREFS Column 1 is A000079. Column 2 is A295247. Row 1 is A000073(n+3). Sequence in context: A269075 A283543 A297682 * A223770 A223777 A227089 Adjacent sequences: A297604 A297605 A297606 * A297608 A297609 A297610 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 01 2018 STATUS approved

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Last modified May 27 14:41 EDT 2024. Contains 372861 sequences. (Running on oeis4.)