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 A240338 T(n,k)=Number of nXk 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4 6
 2, 4, 4, 7, 15, 7, 11, 48, 48, 11, 16, 125, 316, 125, 16, 22, 284, 1543, 1543, 284, 22, 29, 582, 6271, 14456, 6271, 582, 29, 37, 1097, 22116, 110327, 110327, 22116, 1097, 37, 46, 1932, 69596, 716770, 1607848, 716770, 69596, 1932, 46, 56, 3219, 199504, 4106515 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....4.......7........11...........16............22.............29 ..4...15......48.......125..........284...........582...........1097 ..7...48.....316......1543.........6271.........22116..........69596 .11..125....1543.....14456.......110327........716770........4106515 .16..284....6271....110327......1607848......19629542......208224462 .22..582...22116....716770.....19629542.....455506837.....9073358239 .29.1097...69596...4106515....208224462....9073358239...342013040533 .37.1932..199504..21225132...1979743527..160455447637.11361329151015 .46.3219..528924.100450928..17168302936.2579449716281 .56.5123.1310622.439636230.137234695613 LINKS R. H. Hardin, Table of n, a(n) for n = 1..111 FORMULA Empirical for column k: k=1: a(n) = (1/2)*n^2 + (1/2)*n + 1 k=2: [polynomial of degree 5] for n>2 k=3: [polynomial of degree 13] for n>12 k=4: [polynomial of degree 30] for n>35 k=5: [polynomial of degree 69] for n>88 EXAMPLE Some solutions for n=4 k=4 ..0..0..3..3....0..0..0..0....0..0..0..0....3..0..0..3....0..3..3..3 ..0..0..3..3....0..3..0..3....0..0..3..3....0..3..3..2....0..0..3..2 ..3..3..2..1....0..0..3..2....0..3..2..2....3..0..2..2....3..3..3..0 ..3..2..1..2....0..0..0..0....0..3..2..0....3..3..2..0....3..2..2..2 CROSSREFS Column 1 is A000124 Sequence in context: A268995 A205744 A237859 * A227103 A223644 A223637 Adjacent sequences:  A240335 A240336 A240337 * A240339 A240340 A240341 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 04 2014 STATUS approved

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Last modified December 8 09:02 EST 2021. Contains 349594 sequences. (Running on oeis4.)