The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A240321 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 zero plus the sum of the elements diagonally to its northwest, modulo 4 6
 2, 2, 2, 4, 4, 4, 4, 18, 18, 4, 8, 44, 172, 44, 8, 8, 184, 866, 866, 184, 8, 16, 444, 7326, 8456, 7326, 444, 16, 16, 1826, 35042, 143682, 143682, 35042, 1826, 16, 32, 4388, 291982, 1352558, 4934092, 1352558, 291982, 4388, 32, 32, 18022, 1387224, 22643786 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2.....2........4...........4..............8...............8...............16 ..2.....4.......18..........44............184.............444.............1826 ..4....18......172.........866...........7326...........35042...........291982 ..4....44......866........8456.........143682.........1352558.........22643786 ..8...184.....7326......143682........4934092........92600224.......3120733284 ..8...444....35042.....1352558.......92600224......3462370700.....233738937688 .16..1826...291982....22643786.....3120733284....233738937688...31675283550406 .16..4388..1387224...211572262....58052954898...8672268288766.2350783897073214 .32.18022.11520638..3529400774..1946100075968.582902538705858 .32.43300.54650290.32917918872.36103692985126 LINKS R. H. Hardin, Table of n, a(n) for n = 1..111 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-2) k=2: a(n) = 12*a(n-2) -24*a(n-4) +31*a(n-6) -16*a(n-8) k=3: [order 48] EXAMPLE Some solutions for n=4 k=4 ..3..3..1..3....1..1..3..1....3..3..3..1....3..3..1..3....3..3..1..3 ..3..0..0..0....1..0..2..2....3..2..0..0....3..0..0..2....3..0..2..2 ..1..0..2..0....3..0..0..2....3..0..2..2....1..0..0..0....1..0..2..2 ..3..0..0..3....1..2..2..2....1..2..0..0....3..2..1..1....3..2..1..2 CROSSREFS Column 1 is A016116(n+1) Sequence in context: A355911 A113402 A238726 * A054861 A187324 A334207 Adjacent sequences: A240318 A240319 A240320 * A240322 A240323 A240324 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 03 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified March 23 10:58 EDT 2023. Contains 361443 sequences. (Running on oeis4.)