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A256904 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally and vertically 9
512, 2444, 2444, 9374, 9072, 9374, 34698, 38540, 38540, 34698, 113474, 137381, 202462, 137381, 113474, 330684, 396712, 721051, 721051, 396712, 330684, 914320, 1041135, 1948416, 2212280, 1948416, 1041135, 914320, 2433544, 2401667, 4825736 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
......512.....2444.....9374....34698...113474...330684...914320...2433544
.....2444.....9072....38540...137381...396712..1041135..2401667...5134161
.....9374....38540...202462...721051..1948416..4825736..9929098..19908603
....34698...137381...721051..2212280..4687873..9831933.14332984..24894558
...113474...396712..1948416..4687873..7212370.12286621.12230530..19377777
...330684..1041135..4825736..9831933.12286621.20148566.19349729..30191085
...914320..2401667..9929098.14332984.12230530.19349729.20860406..34612866
..2433544..5134161.19908603.24894558.19377777.30191085.34612866..59078346
..6176662.10237795.36723020.39386679.24869452.44348914.56629422.100148760
.15093057.19375976.65041901.61894886.35469812.64717222.96884013.175274718
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 68] for n>70
k=2: [order 66] for n>84
EXAMPLE
Some solutions for n=2 k=4
..0..1..1..1..1..1....0..0..0..1..1..1....1..0..0..0..0..0....0..0..0..1..0..1
..1..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..1..0....1..0..0..0..0..1
..0..0..1..1..1..0....0..1..1..1..1..1....0..1..1..1..1..1....0..0..1..1..1..1
..1..0..0..1..1..1....0..0..1..0..0..1....0..0..0..0..1..1....1..0..1..1..1..1
CROSSREFS
Sequence in context: A253935 A253834 A259006 * A256897 A255756 A254845
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 12 2015
STATUS
approved

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Last modified June 14 08:01 EDT 2024. Contains 373393 sequences. (Running on oeis4.)