A257357 Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum

12100, 20449, 45796, 101124, 246016, 622521, 1249924, 2598544, 6200100, 15225604, 31651876, 68244121, 158860816, 378146916, 806332816, 1776622500, 4052850244, 9490461561, 20534890000, 45856367881, 103396974916, 239629830400

Offset

1,1

Comments

Column 4 of A257361

Links

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

Formula

Empirical: a(n) = 4*a(n-2) +17*a(n-4) -57*a(n-6) +2*a(n-8) -60*a(n-10) -127*a(n-12) +598*a(n-14) -292*a(n-16) +315*a(n-18) +312*a(n-20) -1149*a(n-22) +223*a(n-26) -55*a(n-28) +127*a(n-30) +51*a(n-32) -32*a(n-34) -6*a(n-36) -5*a(n-38) -a(n-40) +a(n-42) for n>46

Example

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

Crossrefs

Cf. A257361

Sequence in context: A259523 A037248 A008914 * A070187 A031661 A371952

Adjacent sequences: A257354 A257355 A257356 * A257358 A257359 A257360

Keyword

nonn

Author

R. H. Hardin, Apr 20 2015

Status

approved