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 A240422 T(n,k)=Number of nXk 0..3 arrays with no element equal to two 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 5
 3, 7, 7, 15, 35, 15, 31, 147, 147, 31, 63, 553, 1161, 553, 63, 127, 2045, 7857, 7857, 2045, 127, 255, 7439, 52711, 97269, 52711, 7439, 255, 511, 27099, 347155, 1197511, 1197511, 347155, 27099, 511, 1023, 98193, 2331517, 14516959, 27488435, 14516959 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....3.......7........15..........31...........63...........127...........255 ....7......35.......147.........553.........2045..........7439.........27099 ...15.....147......1161........7857........52711........347155.......2331517 ...31.....553......7857.......97269......1197511......14516959.....182716785 ...63....2045.....52711.....1197511.....27488435.....619040901...14838256141 ..127....7439....347155....14516959....619040901...26075879845.1191246174665 ..255...27099...2331517...182716785..14838256141.1191246174665 ..511...98193..15537761..2283795777.349768244657 .1023..356367.105095051.29455167803 .2047.1290555.706172043 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) -2*a(n-2) k=2: [order 15] k=3: [order 96] for n>100 EXAMPLE Some solutions for n=4 k=4 ..3..3..1..3....1..1..1..0....0..0..1..1....3..3..1..0....3..0..0..0 ..3..0..0..2....1..0..1..1....0..3..0..2....3..0..0..0....0..0..3..0 ..3..0..2..2....1..1..2..1....0..0..0..0....1..0..2..3....0..1..2..3 ..1..0..0..0....0..1..1..3....0..3..0..3....3..0..0..0....0..1..0..2 CROSSREFS Column 1 is A000225(n+1) Sequence in context: A059478 A175329 A081218 * A130003 A098581 A238997 Adjacent sequences: A240419 A240420 A240421 * A240423 A240424 A240425 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 04 2014 STATUS approved

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Last modified September 27 17:34 EDT 2023. Contains 365714 sequences. (Running on oeis4.)