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 A241356 T(n,k) = Number of n X k 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 one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. 13
 2, 2, 3, 4, 3, 4, 6, 9, 3, 7, 8, 17, 19, 4, 10, 14, 23, 51, 55, 5, 15, 20, 53, 61, 128, 72, 5, 24, 30, 103, 230, 228, 248, 124, 7, 35, 48, 160, 641, 1721, 615, 624, 243, 8, 54, 70, 344, 960, 5663, 6307, 2062, 1323, 370, 9, 83, 108, 643, 3746, 11909, 32942, 35880, 6380, 2715 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2..2...4.....6......8.......14........20.........30.........48.........70 ..3..3...9....17.....23.......53.......103........160........344........643 ..4..3..19....51.....61......230.......641........960.......3746.......9339 ..7..4..55...128....228.....1721......5663......11909......69946.....220363 .10..5..72...248....615.....6307.....32942......81541.....704210....3476469 .15..5.124...624...2062....35880....247664.....921726...10840453...85630246 .24..7.243..1323...6380...183400...1904754...10693549..198803445.2384535274 .35..8.370..2715..17325...763750..12340892..109041097.3042023002 .54..9.695..5798..60671..4110488.104529676.1490516896 .83.12.956.11469.174659.18352240.729080777 LINKS R. H. Hardin, Table of n, a(n) for n = 1..143 FORMULA Empirical for column k: k=1: a(n) = a(n-2) +2*a(n-3). k=2: a(n) = a(n-3) +a(n-5). k=3: [order 68] for n > 85. Empirical for row n: n=1: a(n) = a(n-2) +2*a(n-3). n=2: [order 17] for n > 20. EXAMPLE Some solutions for n=4, k=4 ..3..2..3..3....3..2..3..3....3..2..3..3....3..2..3..3....3..2..3..3 ..3..1..1..2....3..1..1..3....3..1..2..1....3..1..2..1....3..1..2..1 ..2..1..0..1....2..1..0..1....2..3..0..3....2..3..3..3....2..3..0..3 ..3..0..2..2....3..2..3..2....3..0..1..3....2..1..0..1....3..2..0..2 CROSSREFS Column 1 is A159288(n+1). Column 2 is A226503(n+8). Row 1 is A239851. Sequence in context: A003991 A131923 A119457 * A065157 A235804 A051597 Adjacent sequences: A241353 A241354 A241355 * A241357 A241358 A241359 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 20 2014 STATUS approved

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Last modified November 29 20:23 EST 2023. Contains 367447 sequences. (Running on oeis4.)