A235521 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with 2 X 2 subblock sum of squares lexicographically nondecreasing rowwise and nonincreasing columnwise.

256, 2272, 2272, 20164, 61080, 20164, 131208, 1693053, 1649707, 131208, 853776, 33809449, 136233789, 32516127, 853776, 4548852, 677462696, 8689553076, 8849747316, 636820654, 4548852, 24235929, 10650729023, 540301382239

Offset

1,1

Comments

Table starts

.......256..........2272............20164............131208.............853776

......2272.........61080..........1693053..........33809449..........677462696

.....20164.......1649707........136233789........8689553076.......540301382239

....131208......32516127.......8849747316.....2001758743204....439572860964268

....853776.....636820654.....569055271070...448691506243509.339098156459115852

...4548852....9861273365...29822537207178.85371358783135523

..24235929..152479393753.1571264979362306

.112067172.1957874677935

.518199696

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Formula

Empirical for column and row 1: [linear recurrence of order 50].

Example

Some solutions for n=2, k=4
..0..2..0..1..0....0..0..0..0..0....0..2..0..0..0....0..2..0..0..1
..1..2..1..1..1....1..3..0..1..0....1..1..1..0..0....1..1..1..1..0
..2..3..1..3..0....0..2..3..1..1....3..2..2..3..3....3..0..2..2..2

Crossrefs

Sequence in context: A236495 A236118 A236113 * A235652 A235518 A206109

Adjacent sequences: A235518 A235519 A235520 * A235522 A235523 A235524

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 11 2014

Status

approved