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 A240153 T(n,k)=Number of nXk 0..3 arrays with no element equal to one 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 or zero plus the sum of the elements antidiagonally to its northeast, modulo 4 12
 2, 3, 3, 4, 5, 4, 7, 8, 11, 7, 10, 19, 20, 25, 10, 15, 36, 107, 67, 62, 15, 24, 57, 186, 676, 254, 144, 24, 35, 120, 450, 1328, 3993, 825, 329, 35, 54, 218, 1641, 5701, 11742, 22412, 2667, 775, 54, 83, 377, 2788, 24419, 88214, 108201, 131005, 8652, 1781, 83, 124, 758 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....3.....4........7.........10..........15..........24.........35 ..3....5.....8.......19.........36..........57.........120........218 ..4...11....20......107........186.........450........1641.......2788 ..7...25....67......676.......1328........5701.......24419......52676 .10...62...254.....3993......11742.......88214......536744....1652584 .15..144...825....22412.....108201.....1608415....12812998...70360014 .24..329..2667...131005....1056699....30542203...417799464.3795213209 .35..775..8652...731518...10526838...584983851.14482686630 .54.1781.27929..4144347..107361960.11643589675 .83.4150.91436.23263202.1116331018 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for column k: k=1: a(n) = a(n-2) +2*a(n-3) k=2: [order 34] for n>36 Empirical for row n: n=1: a(n) = a(n-2) +2*a(n-3) n=2: [order 17] for n>19 EXAMPLE Some solutions for n=4 k=4 ..2..2..3..2....2..2..3..3....2..2..3..3....2..2..3..3....2..2..3..3 ..0..2..1..1....0..2..2..3....0..2..1..1....0..0..2..2....0..2..1..1 ..0..2..2..3....2..0..0..2....2..2..3..3....2..0..1..3....0..2..2..2 ..0..0..2..2....3..2..3..2....3..1..2..1....3..1..2..2....0..2..0..2 CROSSREFS Row and column 1 are A159288(n+1) Sequence in context: A374131 A357431 A361383 * A241435 A349320 A078338 Adjacent sequences: A240150 A240151 A240152 * A240154 A240155 A240156 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 02 2014 STATUS approved

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Last modified September 8 12:12 EDT 2024. Contains 375753 sequences. (Running on oeis4.)