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 A240760 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4 7
 2, 5, 2, 11, 6, 4, 25, 9, 12, 6, 57, 42, 19, 16, 8, 129, 124, 142, 24, 16, 14, 293, 474, 553, 348, 25, 35, 20, 665, 1440, 4112, 1750, 653, 35, 35, 30, 1509, 5239, 18373, 20657, 5325, 1809, 45, 36, 48, 3425, 16730, 131958, 149324, 77314, 21859, 3606, 76, 65, 70, 7773 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2..5..11....25......57......129.......293........665........1509.......3425 ..2..6...9....42.....124......474......1440.......5239.......16730......58945 ..4.12..19...142.....553.....4112.....18373.....131958......625820....4472258 ..6.16..24...348....1750....20657....149324....1954881....16557694..232884150 ..8.16..25...653....5325....77314....947937...21847993...336059014.9470457699 .14.35..35..1809...21859...500139...9748926..420731038.11098085704 .20.35..45..3606...66809..2319189..75889699.5873834148 .30.36..76..8307..222091.11311246.583512422 .48.65.117.20609..811643.62333325 .70.83.180.42658.2448916 LINKS R. H. Hardin, Table of n, a(n) for n = 1..109 FORMULA Empirical for column k: k=1: a(n) = a(n-2) +2*a(n-3) k=2: a(n) = 3*a(n-3) +a(n-5) -2*a(n-8) -4*a(n-9) -a(n-11) +2*a(n-14) for n>17 k=3: [order 76] for n>84 Empirical for row n: n=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) EXAMPLE Some solutions for n=4 k=4 ..3..3..1..1....2..2..2..2....3..3..1..3....2..1..1..3....2..2..3..3 ..2..0..2..3....3..3..1..1....2..0..0..2....3..3..0..2....3..1..0..2 ..2..0..2..3....3..2..0..1....3..1..0..2....2..1..3..2....2..0..1..3 ..2..0..0..2....2..0..2..2....3..1..0..2....2..0..1..2....2..0..1..3 CROSSREFS Column 1 is A239851 Row 1 is A239812 Sequence in context: A085020 A276609 A292591 * A207635 A205715 A181338 Adjacent sequences:  A240757 A240758 A240759 * A240761 A240762 A240763 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 12 2014 STATUS approved

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)