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 A241306 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 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 12
 2, 2, 5, 4, 6, 11, 6, 15, 6, 25, 8, 25, 37, 12, 57, 14, 40, 74, 116, 16, 129, 20, 89, 186, 330, 304, 28, 293, 30, 121, 646, 1462, 1145, 869, 38, 665, 48, 237, 1278, 5757, 6718, 4499, 2398, 66, 1509, 70, 390, 3418, 22343, 49918, 41336, 15827, 6813, 92, 3425, 108, 682 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2...2.....4......6........8.........14..........20..........30..........48 ....5...6....15.....25.......40.........89.........121.........237.........390 ...11...6....37.....74......186........646........1278........3418........9113 ...25..12...116....330.....1462.......5757.......22343.......79043......304799 ...57..16...304...1145.....6718......49918......283985.....1666242.....9581018 ..129..28...869...4499....41336.....490486.....5098814....41458261...447396605 ..293..38..2398..15827...217785....3893262....70316883...978925384.16677156613 ..665..66..6813..58043..1215485...37039909..1194164944.30759996872 .1509..92.18782.209838..6526016..307030328.16586413847 .3425.154.53067.757771.35833494.2801405991 LINKS R. H. Hardin, Table of n, a(n) for n = 1..126 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) k=2: a(n) = 2*a(n-2) +a(n-3) -a(n-5) Empirical for row n: n=1: a(n) = a(n-2) +2*a(n-3) n=2: [order 14] for n>20 EXAMPLE Some solutions for n=4 k=4 ..3..2..3..2....3..2..3..2....3..2..3..3....3..2..3..2....3..2..2..2 ..1..2..1..1....3..1..3..1....1..2..1..1....1..2..1..1....3..0..0..1 ..2..0..0..1....1..2..2..3....3..2..2..2....3..2..0..2....1..0..2..1 ..1..0..3..3....2..0..0..1....1..2..0..2....2..0..0..3....1..0..0..2 CROSSREFS Column 1 is A239812 Row 1 is A239851 Sequence in context: A284127 A261114 A284827 * A336073 A266792 A162200 Adjacent sequences:  A241303 A241304 A241305 * A241307 A241308 A241309 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 18 2014 STATUS approved

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Last modified August 3 10:49 EDT 2020. Contains 336198 sequences. (Running on oeis4.)