A254547 Number of (n+2) X (2+2) 0..1 arrays with every 3 X 3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

2696, 9292, 39661, 128366, 443179, 1412248, 4537801, 14148124, 44000373, 134814295, 412099128, 1251977561, 3797440579, 11489665801, 34729306703, 104857254464, 316408018704, 954240020343, 2876947703938, 8671423972262

Offset

1,1

Comments

Column 2 of A254553.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -8*a(n-2) -11*a(n-3) +31*a(n-4) -30*a(n-5) +24*a(n-6) +40*a(n-7) -51*a(n-8) -273*a(n-9) +426*a(n-10) +529*a(n-11) -1549*a(n-12) +1752*a(n-13) -1771*a(n-14) -1226*a(n-15) +4804*a(n-16) -5488*a(n-17) +6566*a(n-18) -214*a(n-19) -6805*a(n-20) +4801*a(n-21) -5890*a(n-22) +3586*a(n-23) -495*a(n-24) +2835*a(n-25) -1421*a(n-26) -2137*a(n-27) +5690*a(n-28) -5577*a(n-29) +5418*a(n-30) -2363*a(n-31) -2053*a(n-32) +1040*a(n-33) -2407*a(n-34) +1715*a(n-35) -491*a(n-36) +1543*a(n-37) -859*a(n-38) +468*a(n-39) +246*a(n-40) -539*a(n-41) +730*a(n-42) -411*a(n-43) -114*a(n-44) -86*a(n-45) -132*a(n-46) +8*a(n-47) +112*a(n-48) +16*a(n-49) +32*a(n-50) +16*a(n-51) -32*a(n-52) for n>59.

Example

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

Crossrefs

Cf. A254553.

Sequence in context: A245529 A210049 A254554 * A254477 A115930 A109994

Adjacent sequences: A254544 A254545 A254546 * A254548 A254549 A254550

Keyword

nonn

Author

R. H. Hardin, Feb 01 2015

Status

approved