A251069 Number of (5+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01

92429, 4499219, 119032248, 2062530658, 26192388204, 262314968432, 2179252808041, 15575644526039, 98405520674803, 561105111152933, 2934787743118728, 14264091868486046, 65103854823688134, 281456809033502378

Offset

1,1

Comments

Row 5 of A251065

Links

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

Formula

Empirical: a(n) = 46*a(n-1) -1021*a(n-2) +14566*a(n-3) -150115*a(n-4) +1190818*a(n-5) -7565523*a(n-6) +39546498*a(n-7) -173394318*a(n-8) +646904260*a(n-9) -2076097186*a(n-10) +5779538716*a(n-11) -14047031686*a(n-12) +29955478756*a(n-13) -56258286310*a(n-14) +93298957284*a(n-15) -136868817069*a(n-16) +177768541494*a(n-17) -204435461489*a(n-18) +208007834270*a(n-19) -186949454951*a(n-20) +148041763226*a(n-21) -102919401431*a(n-22) +62512079546*a(n-23) -32963315700*a(n-24) +14966379960*a(n-25) -5788295520*a(n-26) +1880029760*a(n-27) -503070080*a(n-28) +107966720*a(n-29) -17863424*a(n-30) +2138624*a(n-31) -164864*a(n-32) +6144*a(n-33)

Example

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

Crossrefs

Sequence in context: A294857 A025042 A182657 * A184560 A225890 A376825

Adjacent sequences: A251066 A251067 A251068 * A251070 A251071 A251072

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved