A251014 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the maximum of its antidiagonal elements

2828, 105897, 4006992, 151364054, 5710752444, 215399006284, 8124335802103, 306433731066598, 11558110429274081, 435950623916958443, 16443253023275043557, 620209134672305176025, 23393142915841203895050

Offset

1,1

Comments

Column 3 of A251019

Links

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

Formula

Empirical: a(n) = 81*a(n-1) -2545*a(n-2) +46634*a(n-3) -575454*a(n-4) +5121269*a(n-5) -34280905*a(n-6) +178058176*a(n-7) -735235201*a(n-8) +2458566817*a(n-9) -6748619328*a(n-10) +15343346079*a(n-11) -29013049660*a(n-12) +45529780609*a(n-13) -58540171146*a(n-14) +59456107143*a(n-15) -42639489590*a(n-16) +10808203829*a(n-17) +24134688192*a(n-18) -47157251900*a(n-19) +49631856893*a(n-20) -34867409096*a(n-21) +14669052928*a(n-22) -26310236*a(n-23) -5501665710*a(n-24) +4887029579*a(n-25) -2545562559*a(n-26) +878979581*a(n-27) -190430073*a(n-28) +17210302*a(n-29) +3205310*a(n-30) -1326243*a(n-31) +202275*a(n-32) -17010*a(n-33) +729*a(n-34)

Example

Some solutions for n=2
..1..1..1..1....1..2..1..1....2..1..1..0....2..0..2..2....0..2..2..1
..1..1..1..0....1..2..2..2....2..0..0..0....0..2..2..0....1..2..2..1
..1..1..1..2....0..2..1..0....1..0..2..2....0..2..1..1....0..1..0..0

Crossrefs

Sequence in context: A182085 A271580 A237063 * A205201 A205059 A232762

Adjacent sequences: A251011 A251012 A251013 * A251015 A251016 A251017

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved