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 A240381 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4 10
 2, 2, 4, 4, 10, 10, 4, 38, 44, 22, 8, 90, 330, 148, 50, 8, 366, 1494, 2066, 636, 114, 16, 878, 12234, 17550, 16994, 2430, 258, 16, 3606, 57722, 279886, 281186, 116030, 9648, 586, 32, 8666, 477574, 2545618, 8802558, 3502886, 884792, 37946, 1330, 32, 35602 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2......2.........4............4.............8..............8.............16 ....4.....10........38...........90...........366............878...........3606 ...10.....44.......330.........1494.........12234..........57722.........477574 ...22....148......2066........17550........279886........2545618.......41758418 ...50....636.....16994.......281186.......8802558......157432290.....5145703760 ..114...2430....116030......3502886.....207932244.....7149227810...457988195982 ..258...9648....884792.....52375114....6169009514...422227556156.54164128056204 ..586..37946...6273952....672652728..148090588518.19320096061230 .1330.149336..46648918...9771038498.4275011910288 .3018.588102.335571098.127878632630 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) k=2: [order 14] for n>15 Empirical for row n: n=1: a(n) = 2*a(n-2) n=2: a(n) = 12*a(n-2) -24*a(n-4) +31*a(n-6) -16*a(n-8) n=3: [order 48] for n>50 EXAMPLE Some solutions for n=4 k=4 ..1..3..1..3....3..1..1..3....3..1..3..1....3..1..3..1....1..3..1..3 ..1..3..1..3....3..0..2..0....3..1..2..1....3..0..2..0....1..2..2..2 ..1..2..1..1....3..2..0..2....3..2..2..2....1..0..0..0....1..2..0..0 ..3..0..0..2....2..0..0..0....1..0..0..0....2..0..1..2....2..3..2..1 CROSSREFS Column 1 is A078040 Row 1 is A016116(n+1) Sequence in context: A114338 A170831 A133406 * A295746 A272104 A285436 Adjacent sequences:  A240378 A240379 A240380 * A240382 A240383 A240384 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 04 2014 STATUS approved

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Last modified May 20 03:10 EDT 2019. Contains 323412 sequences. (Running on oeis4.)