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 A240412 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, modulo 4 11
 2, 2, 5, 4, 10, 11, 6, 32, 33, 25, 8, 80, 202, 139, 57, 14, 162, 846, 1526, 529, 129, 20, 493, 3035, 11670, 10749, 2105, 293, 30, 1109, 17075, 74655, 148536, 79090, 8258, 665, 48, 2656, 65790, 773196, 1765436, 2051450, 573490, 32480, 1509, 70, 7235, 283052 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2......2.........4...........6............8............14............20 ....5.....10........32..........80..........162...........493..........1109 ...11.....33.......202.........846.........3035.........17075.........65790 ...25....139......1526.......11670........74655........773196.......5429095 ...57....529.....10749......148536......1765436......33373526.....425530595 ..129...2105.....79090.....2051450.....45245148....1615637679...38249442962 ..293...8258....573490....27295809...1123774316...74389514201.3275332362582 ..665..32480...4185321...377924479..29595088887.3790596926634 .1509.127944..30488162..5090700587.749274246946 .3425.503372.222232658.70407569019 LINKS R. H. Hardin, Table of n, a(n) for n = 1..98 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) k=2: [order 14] Empirical for row n: n=1: a(n) = a(n-2) +2*a(n-3) n=2: [order 15] for n>16 EXAMPLE Some solutions for n=4 k=4 ..3..2..2..2....3..2..3..2....3..2..3..2....2..3..3..2....3..2..3..3 ..3..0..0..0....1..2..1..2....1..0..3..2....2..3..2..2....2..1..1..1 ..2..0..0..1....3..2..2..2....3..0..0..0....2..0..0..3....3..1..2..0 ..3..0..1..2....3..1..1..2....1..2..0..2....2..0..1..2....3..0..0..0 CROSSREFS Column 1 is A239812 Row 1 is A239851 Sequence in context: A056444 A319925 A112472 * A292263 A338528 A238624 Adjacent sequences: A240409 A240410 A240411 * A240413 A240414 A240415 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 04 2014 STATUS approved

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Last modified May 29 03:22 EDT 2023. Contains 363029 sequences. (Running on oeis4.)