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 A240394 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4 11
 1, 1, 2, 1, 5, 2, 1, 7, 12, 4, 1, 9, 32, 50, 4, 1, 11, 62, 258, 120, 8, 1, 13, 118, 954, 1232, 493, 8, 1, 15, 206, 3064, 8656, 10291, 1184, 16, 1, 17, 351, 9075, 50756, 142016, 48826, 4863, 16, 1, 19, 568, 27120, 263816, 1568581, 1314136, 405404, 11684, 32, 1, 21, 882 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ..1.....1........1..........1............1.............1.............1 ..2.....5........7..........9...........11............13............15 ..2....12.......32.........62..........118...........206...........351 ..4....50......258........954.........3064..........9075.........27120 ..4...120.....1232.......8656........50756........263816.......1378418 ..8...493....10291.....142016......1568581......14958462.....138422394 ..8..1184....48826....1314136.....27938412.....502139307....8505203924 .16..4863...405404...21792634....910553970...31597696508.1003858789731 .16.11684..1922824..202647943..16647316316.1127672103190 .32.47994.15957927.3370994234.551914186148 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-2) k=2: a(n) = 12*a(n-2) -24*a(n-4) +31*a(n-6) -16*a(n-8) k=3: [order 48] for n>49 Empirical for row n: n=1: a(n) = 1 n=2: a(n) = 2*n + 1 for n>1 n=3: a(n) = (1/6)*n^4 - (5/6)*n^3 + (13/3)*n^2 + (31/3)*n - 48 for n>5 n=4: [polynomial of degree 14] for n>13 n=5: [polynomial of degree 44] for n>38 EXAMPLE Some solutions for n=4 k=4 ..3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0 ..1..0..3..3....1..0..0..3....1..3..3..0....1..0..0..0....3..2..0..0 ..3..0..2..2....3..0..2..3....3..1..3..2....3..0..2..0....1..2..2..3 ..3..0..1..1....1..3..2..0....1..2..2..2....3..0..2..0....3..2..2..2 CROSSREFS Column 1 is A016116 Sequence in context: A134566 A128694 A088421 * A259447 A228823 A249756 Adjacent sequences: A240391 A240392 A240393 * A240395 A240396 A240397 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 04 2014 STATUS approved

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Last modified June 23 15:01 EDT 2024. Contains 373651 sequences. (Running on oeis4.)