A258539 Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum

784, 2916, 8836, 27889, 81796, 241081, 682276, 1915456, 5262436, 14341369, 38613796, 103347556, 274763776, 727812484, 1921068900, 5060045956, 13303315600, 34935348100, 91655140516, 240318589729, 629813657664

Offset

1,1

Comments

Column 2 of A258545

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 10*a(n-1) -36*a(n-2) +32*a(n-3) +154*a(n-4) -516*a(n-5) +399*a(n-6) +996*a(n-7) -2600*a(n-8) +1304*a(n-9) +3204*a(n-10) -5192*a(n-11) +547*a(n-12) +4342*a(n-13) -1404*a(n-14) -3448*a(n-15) -1178*a(n-16) +9156*a(n-17) -4109*a(n-18) -9736*a(n-19) +10960*a(n-20) +2160*a(n-21) -8008*a(n-22) -368*a(n-23) +5069*a(n-24) +2262*a(n-25) -7132*a(n-26) +688*a(n-27) +5958*a(n-28) -3388*a(n-29) -1987*a(n-30) +2276*a(n-31) +216*a(n-32) -776*a(n-33) -124*a(n-34) +312*a(n-35) +81*a(n-36) -150*a(n-37) -4*a(n-38) +40*a(n-39) -6*a(n-40) -4*a(n-41) +a(n-42) for n>44

Example

Some solutions for n=4
..1..1..0..1....1..1..1..1....1..1..0..1....0..1..0..0....0..1..0..0
..1..1..1..1....0..0..0..0....1..1..0..1....0..1..0..0....0..1..1..1
..0..0..0..0....0..0..0..0....1..1..1..1....0..0..0..0....0..1..0..0
..1..1..1..1....1..1..1..1....1..0..1..0....1..0..1..0....0..1..1..1
..0..0..1..0....0..1..0..1....0..0..1..1....0..1..1..1....0..1..0..0
..1..1..1..1....0..1..0..1....1..0..1..0....0..0..0..1....0..0..1..0

Crossrefs

Cf. A258545

Sequence in context: A351476 A257355 A187935 * A250809 A255145 A203790

Adjacent sequences: A258536 A258537 A258538 * A258540 A258541 A258542

Keyword

nonn

Author

R. H. Hardin, Jun 02 2015

Status

approved