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 A240271 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 one plus the sum of the elements diagonally to its northwest, modulo 4 11
 2, 4, 3, 10, 7, 4, 24, 35, 14, 7, 56, 157, 118, 36, 10, 132, 713, 919, 582, 72, 15, 312, 3263, 7562, 8265, 2000, 170, 24, 736, 14895, 64721, 126286, 49921, 8353, 411, 35, 1736, 68101, 563496, 2059061, 1363144, 382690, 37422, 879, 54, 4096, 311509, 4956889 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....4......10.........24..........56..........132...........312 ..3....7......35........157.........713.........3263.........14895 ..4...14.....118........919........7562........64721........563496 ..7...36.....582.......8265......126286......2059061......34514871 .10...72....2000......49921.....1363144.....40760821....1277623744 .15..170....8353.....382690....19210586...1063706501...63085436203 .24..411...37422....3076452...278945445..27923918285.3004792552569 .35..879..135463...19781372..3200032085.576407548906 .54.2106..580528..154994425.46095401280 .83.4874.2403439.1144262410 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = a(n-2) +2*a(n-3) k=2: [order 13] Empirical for row n: n=1: a(n) = 2*a(n-1) +2*a(n-3) n=2: [order 26] for n>28 EXAMPLE Some solutions for n=4 k=4 ..2..3..0..3....3..2..2..2....3..0..0..2....3..0..2..0....3..2..2..2 ..2..1..2..3....3..1..2..1....2..3..2..0....2..3..0..2....2..1..2..0 ..2..0..1..0....2..1..2..2....3..1..2..0....3..1..1..0....3..2..0..2 ..2..0..1..0....2..0..0..1....3..2..2..0....3..2..2..1....2..3..2..2 CROSSREFS Column 1 is A159288(n+1) Row 1 is A052912 Sequence in context: A183210 A226367 A324934 * A208324 A277416 A064691 Adjacent sequences: A240268 A240269 A240270 * A240272 A240273 A240274 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 03 2014 STATUS approved

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Last modified October 3 07:13 EDT 2023. Contains 365842 sequences. (Running on oeis4.)