A254236 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically

2616, 9209, 38392, 167637, 637570, 2228050, 7570126, 24603175, 77699926, 240604963, 731676813, 2193193398, 6506008066, 19128153912, 55819067155, 161889609500, 467100675752, 1341818201946, 3840365573161, 10956834925946

Offset

1,1

Comments

Column 2 of A254242

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -59*a(n-2) +149*a(n-3) -183*a(n-4) +4*a(n-5) +387*a(n-6) -898*a(n-7) +1676*a(n-8) -2700*a(n-9) +2747*a(n-10) -402*a(n-11) -2768*a(n-12) +3997*a(n-13) -6569*a(n-14) +16618*a(n-15) -28520*a(n-16) +26140*a(n-17) -1034*a(n-18) -40700*a(n-19) +77375*a(n-20) -78495*a(n-21) +39296*a(n-22) +12893*a(n-23) -55386*a(n-24) +75767*a(n-25) -68529*a(n-26) +44593*a(n-27) -16089*a(n-28) -9340*a(n-29) +25380*a(n-30) -34396*a(n-31) +37828*a(n-32) -33880*a(n-33) +23505*a(n-34) -6240*a(n-35) -12114*a(n-36) +20302*a(n-37) -17424*a(n-38) +10344*a(n-39) -3748*a(n-40) -171*a(n-41) +1387*a(n-42) -1676*a(n-43) +1939*a(n-44) -1745*a(n-45) +1052*a(n-46) -401*a(n-47) +51*a(n-48) +92*a(n-49) -137*a(n-50) +116*a(n-51) -60*a(n-52) +17*a(n-53) -2*a(n-54) for n>66

Example

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

Crossrefs

Sequence in context: A235557 A257427 A257420 * A252440 A066871 A180650

Adjacent sequences: A254233 A254234 A254235 * A254237 A254238 A254239

Keyword

nonn

Author

R. H. Hardin, Jan 27 2015

Status

approved