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 A253468 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally 9
 81, 540, 540, 3640, 800, 3640, 24208, 1400, 1400, 24208, 162016, 3072, 2000, 3072, 162016, 1081504, 8536, 2600, 2600, 8536, 1081504, 7227096, 15888, 5000, 3744, 5000, 15888, 7227096, 48272160, 44464, 7784, 7496, 7496, 7784, 44464, 48272160 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .........81....540...3640..24208.162016.1081504.7227096.48272160.322493040 ........540....800...1400...3072...8536...15888...44464....94416....273808 .......3640...1400...2000...2600...5000....7784...17000....28520.....65000 ......24208...3072...2600...3744...7496....8272...15680....31824.....94016 .....162016...8536...5000...7496...8000...12680...20000....33416.....68000 ....1081504..15888...7784...8272..12680...12800...20864....36352.....99200 ....7227096..44464..17000..15680..20000...20864...32000....41600.....80000 ...48272160..94416..28520..31824..33416...36352...41600....59904....119936 ..322493040.273808..65000..94016..68000...99200...80000...119936....128000 .2154281664.562320.111464.104272.116360..108800..124544...132352....202880 LINKS R. H. Hardin, Table of n, a(n) for n = 1..3360 FORMULA Empirical for diagonal and column k: diagonal: a(n) = 16*a(n-4) for n>5 k=1: a(n) = 2*a(n-1) +27*a(n-2) +30*a(n-3) -7*a(n-4) -8*a(n-5) -75*a(n-6) -48*a(n-7) -16*a(n-8) k=2: a(n) = 5*a(n-2) +8*a(n-4) -12*a(n-6) for n>7 k=3: a(n) = 5*a(n-2) -4*a(n-4) for n>6 k=4: a(n) = a(n-2) +16*a(n-4) -16*a(n-6) for n>8 k=5: a(n) = 5*a(n-2) -4*a(n-4) for n>6 k=6: a(n) = a(n-2) +16*a(n-4) -16*a(n-6) for n>8 k=7: a(n) = 5*a(n-2) -4*a(n-4) for n>6 EXAMPLE Some solutions for n=4 k=4 ..0..1..0..1..1....1..0..1..0..1....0..2..0..2..1....1..2..1..2..2 ..2..0..1..0..1....1..2..1..2..1....2..1..1..0..2....2..1..2..1..2 ..0..2..1..2..1....2..1..2..1..2....1..2..0..1..1....0..1..0..1..0 ..2..1..2..1..1....0..1..0..1..0....2..1..1..0..2....2..0..1..0..1 ..0..1..0..1..1....1..0..1..0..1....1..1..0..0..0....2..1..1..2..1 CROSSREFS Sequence in context: A235784 A235565 A235560 * A253462 A206512 A235833 Adjacent sequences: A253465 A253466 A253467 * A253469 A253470 A253471 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 01 2015 STATUS approved

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Last modified December 1 04:44 EST 2023. Contains 367468 sequences. (Running on oeis4.)