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 A239858 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4 14
 2, 2, 2, 4, 3, 4, 6, 9, 5, 6, 8, 12, 44, 4, 8, 14, 29, 78, 84, 5, 14, 20, 63, 255, 203, 130, 5, 20, 30, 100, 742, 1114, 484, 343, 6, 30, 48, 215, 1382, 3463, 4549, 1757, 685, 10, 48, 70, 468, 5647, 9963, 19065, 28184, 4979, 1704, 11, 70, 108, 785, 14755, 71695, 77212 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2..2....4......6........8........14.........20..........30.........48 ..2..3....9.....12.......29........63........100.........215........468 ..4..5...44.....78......255.......742.......1382........5647......14755 ..6..4...84....203.....1114......3463.......9963.......71695.....219708 ..8..5..130....484.....4549.....19065......77212......970717....4024283 .14..5..343...1757....28184....176208.....937154....23072270..141040759 .20..6..685...4979...125255...1162638....9885999...421824199.5282952362 .30.10.1704..19850...860559..11924924..147826427.14757679494 .48.11.3977..68830..4802971.111900643.2030390429 .70.15.7958.207822.24477675.995175724 LINKS R. H. Hardin, Table of n, a(n) for n = 1..126 FORMULA Empirical for column k: k=1: a(n) = a(n-2) +2*a(n-3) k=2: a(n) = a(n-2) +a(n-5) for n>9 Empirical for row n: n=1: a(n) = a(n-2) +2*a(n-3) n=2: [order 17] for n>21 EXAMPLE Some solutions for n=4 k=4 ..3..2..3..3....2..3..3..2....2..3..3..3....3..2..2..2....2..3..2..2 ..2..1..1..2....3..1..1..3....3..1..1..2....2..1..0..0....3..1..1..0 ..3..0..2..2....3..1..1..2....3..2..2..2....3..1..3..0....2..1..2..0 ..3..2..0..0....2..3..0..2....2..3..0..0....2..3..3..3....2..0..0..3 CROSSREFS Sequence in context: A241164 A029157 A247301 * A031437 A282561 A237598 Adjacent sequences:  A239855 A239856 A239857 * A239859 A239860 A239861 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 28 2014 STATUS approved

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Last modified October 23 03:21 EDT 2019. Contains 328335 sequences. (Running on oeis4.)