A254183 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally

2908, 20380, 140108, 939056, 5818936, 35265504, 211785820, 1260109624, 7470540196, 44215816908, 261411178044, 1544642336052, 9124484289564, 53891218240836, 318265182653360, 1879488146032712, 11098868593450092

Offset

1,1

Comments

Column 2 of A254189

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -27*a(n-2) +17*a(n-3) -4*a(n-4) +16*a(n-5) +35*a(n-6) -653*a(n-7) +2042*a(n-8) -2883*a(n-9) +6443*a(n-10) -20963*a(n-11) +48800*a(n-12) -29169*a(n-13) -8038*a(n-14) +30601*a(n-15) -140634*a(n-16) +612090*a(n-17) -1643353*a(n-18) +1383762*a(n-19) -459678*a(n-20) -3518049*a(n-21) +11033537*a(n-22) -6738489*a(n-23) +3076176*a(n-24) +6723811*a(n-25) -34010242*a(n-26) +17362471*a(n-27) -7599238*a(n-28) +2938718*a(n-29) +60962212*a(n-30) -38281840*a(n-31) +12318848*a(n-32) -27089872*a(n-33) -50609632*a(n-34) +42249480*a(n-35) -2796944*a(n-36) +24191488*a(n-37) +3010880*a(n-38) -1363584*a(n-39) -5302912*a(n-40) -6949632*a(n-41) -3760128*a(n-42) +390144*a(n-43) +4666368*a(n-44) -1112064*a(n-45) +741376*a(n-46) -106496*a(n-47) -204800*a(n-48) +65536*a(n-49) -98304*a(n-50) +32768*a(n-51) for n>59

Example

Some solutions for n=3
..1..1..0..1....1..1..0..0....1..1..0..0....0..0..0..0....1..1..0..0
..1..0..0..1....1..0..1..1....0..0..0..0....0..1..0..1....1..0..0..1
..1..0..0..1....0..0..0..1....1..1..1..0....0..0..0..1....1..1..0..1
..0..1..1..0....1..1..1..1....0..0..0..0....0..1..1..1....1..1..1..1
..1..1..1..1....1..1..1..0....0..1..1..0....1..0..1..0....1..0..1..1

Crossrefs

Sequence in context: A186819 A247317 A236742 * A254190 A253795 A251477

Adjacent sequences: A254180 A254181 A254182 * A254184 A254185 A254186

Keyword

nonn

Author

R. H. Hardin, Jan 26 2015

Status

approved