A253532 Number of (n+1)X(7+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically

291511, 416901, 700492, 2008246, 3362641, 8304638, 14461240, 32033588, 59607552, 124813784, 242121763, 493771928, 974611910, 1961963209, 3893098180, 7782225094, 15452647455, 30765684442, 61058042269, 121308073001

Offset

1,1

Comments

Column 7 of A253533

Links

R. H. Hardin, Table of n, a(n) for n = 1..190

Formula

Empirical: a(n) = 16*a(n-1) -112*a(n-2) +434*a(n-3) -916*a(n-4) +502*a(n-5) +2746*a(n-6) -8150*a(n-7) +8147*a(n-8) +6042*a(n-9) -27170*a(n-10) +28424*a(n-11) +5168*a(n-12) -45220*a(n-13) +45220*a(n-14) -1292*a(n-15) -39083*a(n-16) +37316*a(n-17) -6612*a(n-18) -15902*a(n-19) +15716*a(n-20) -5170*a(n-21) -1726*a(n-22) +2626*a(n-23) -1319*a(n-24) +370*a(n-25) -58*a(n-26) +4*a(n-27) for n>52

Example

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

Crossrefs

Sequence in context: A068241 A250618 A252992 * A233988 A287048 A168500

Adjacent sequences: A253529 A253530 A253531 * A253533 A253534 A253535

Keyword

nonn

Author

R. H. Hardin, Jan 03 2015

Status

approved