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 A240364 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4 11
 2, 4, 4, 8, 15, 7, 16, 51, 43, 11, 32, 188, 257, 111, 16, 64, 672, 1693, 1181, 261, 22, 128, 2452, 10997, 13846, 4825, 571, 29, 256, 8822, 74255, 165110, 99412, 18307, 1171, 37, 512, 32077, 492758, 2057843, 2150725, 663122, 64013, 2278, 46, 1024, 115811 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....4.......8........16..........32...........64...........128...........256 ..4...15......51.......188.........672.........2452..........8822.........32077 ..7...43.....257......1693.......10997........74255........492758.......3349106 .11..111....1181.....13846......165110......2057843......25667276.....329976721 .16..261....4825.....99412.....2150725.....49010279....1144026966...27661711340 .22..571...18307....663122....25831820...1069763402...46251359120.2092454198295 .29.1171...64013...4069449...285724643..21520521111.1718692144996 .37.2278..209366..23273667..2936736845.402124337377 .46.4235..645067.125118158.28324834725 .56.7570.1889163.638885869 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = (1/2)*n^2 + (1/2)*n + 1 k=2: [polynomial of degree 8] for n>4 k=3: [polynomial of degree 26] for n>18 k=4: [polynomial of degree 80] for n>61 Empirical for row n: n=1: a(n) = 2*a(n-1) n=2: [linear recurrence of order 12] n=3: [order 80] EXAMPLE Some solutions for n=4 k=4 ..0..0..0..3....3..3..0..0....0..3..3..0....0..0..0..0....0..0..0..0 ..3..3..0..0....3..3..0..0....0..0..0..3....0..3..1..3....0..3..1..0 ..3..2..0..3....3..2..3..3....0..0..0..2....3..3..2..0....3..3..0..1 ..3..2..0..3....0..3..2..0....3..3..0..0....0..3..3..2....3..3..0..0 CROSSREFS Column 1 is A000124 Row 1 is A000079 Sequence in context: A069753 A181245 A216950 * A225982 A282528 A297094 Adjacent sequences:  A240361 A240362 A240363 * A240365 A240366 A240367 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 04 2014 STATUS approved

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Last modified September 28 01:20 EDT 2020. Contains 337388 sequences. (Running on oeis4.)