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 A240347 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 three plus the sum of the elements diagonally to its northwest, modulo 4 6
 2, 4, 4, 8, 18, 8, 16, 78, 78, 16, 32, 334, 722, 334, 32, 64, 1418, 6376, 6376, 1418, 64, 128, 6002, 55680, 115194, 55680, 6002, 128, 256, 25374, 483926, 2044806, 2044806, 483926, 25374, 256, 512, 107230, 4195892, 36002110, 73440130, 36002110, 4195892 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.......4..........8............16..............32..............64 ....4......18.........78...........334............1418............6002 ....8......78........722..........6376...........55680..........483926 ...16.....334.......6376........115194.........2044806........36002110 ...32....1418......55680.......2044806........73440130......2607237326 ...64....6002.....483926......36002110......2607237326....186214281670 ..128...25374....4195892.....631121148.....92003133794..13200773101956 ..256..107230...36331704...11038084086...3236101836296.932020621734728 ..512..453098..314419494..192823850946.113624636162418 .1024.1914498.2720368268.3366365227614 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 6*a(n-1) -7*a(n-2) -4*a(n-3) +8*a(n-4) k=3: [order 23] EXAMPLE Some solutions for n=4 k=4 ..2..0..0..0....0..0..0..0....2..0..0..2....0..0..0..2....2..2..2..0 ..0..0..2..0....0..0..2..2....0..3..2..0....2..0..0..0....2..2..2..0 ..2..0..2..2....2..2..2..2....2..1..1..2....2..2..0..0....0..3..2..0 ..0..0..0..2....2..0..2..3....2..2..2..2....2..0..0..0....2..2..2..2 CROSSREFS Column 1 is A000079 Sequence in context: A291778 A089887 A161816 * A160124 A295293 A080007 Adjacent sequences:  A240344 A240345 A240346 * A240348 A240349 A240350 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 04 2014 STATUS approved

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Last modified May 18 22:46 EDT 2021. Contains 344006 sequences. (Running on oeis4.)