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 A265960 T(n,k) = Number of n X k integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself. 5
 1, 3, 3, 5, 75, 5, 11, 235, 235, 11, 26, 4267, 2031, 4267, 26, 55, 72764, 31940, 31940, 72764, 55, 119, 527311, 1002328, 8205996, 1002328, 527311, 119, 263, 7155883, 17873307, 661278762, 661278762, 17873307, 7155883, 263, 573, 100785131 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1..........3..........5............11..............26..............55 ....3.........75........235..........4267...........72764..........527311 ....5........235.......2031.........31940.........1002328........17873307 ...11.......4267......31940.......8205996.......661278762.....50708665808 ...26......72764....1002328.....661278762...1028618143516.167704908247475 ...55.....527311...17873307...50708665808.167704908247475 ..119....7155883..329266534.8616991831997 ..263..100785131.7935241725 ..573.1027584101 .1248 LINKS R. H. Hardin, Table of n, a(n) for n = 1..60 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4). k=2: [order 30]. EXAMPLE Some solutions for n=3, k=4 ..1..4..5..2....1..3..4..0....0..4..0..0....2..1..0..0....1..2..3..0 ..3..0..0..0....0..8..1..2....0..0..8..4....1..7..8..0....0..7..8..0 ..1..4..5..0....2..1..2..3....0..0..0..1....0..3..0..0....2..1..3..0 CROSSREFS Column 1 is A196423. Sequence in context: A241591 A248592 A132809 * A279062 A367763 A005882 Adjacent sequences: A265957 A265958 A265959 * A265961 A265962 A265963 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 19 2015 STATUS approved

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Last modified April 21 16:18 EDT 2024. Contains 371874 sequences. (Running on oeis4.)