A253530 Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically

25165, 71333, 142679, 398710, 745281, 1744459, 3362641, 7208222, 14186738, 29111786, 57621515, 115695867, 228900596, 455068941, 899753742, 1782776025, 3527257807, 6989363364, 13852817626, 27493383527, 54609926099, 108599738807

Offset

1,1

Comments

Column 5 of A253533

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -58*a(n-2) +126*a(n-3) -15*a(n-4) -558*a(n-5) +1166*a(n-6) -324*a(n-7) -2362*a(n-8) +3760*a(n-9) -420*a(n-10) -4940*a(n-11) +5330*a(n-12) +300*a(n-13) -4900*a(n-14) +3568*a(n-15) +459*a(n-16) -2156*a(n-17) +1182*a(n-18) +30*a(n-19) -339*a(n-20) +178*a(n-21) -42*a(n-22) +4*a(n-23) for n>40

Example

Some solutions for n=3
..0..0..1..0..1..2....0..0..1..0..1..2....1..0..0..0..1..1....1..1..1..1..2..2
..0..0..1..0..2..2....1..0..1..0..1..0....2..1..1..1..2..2....1..1..1..1..1..1
..0..0..1..0..2..0....2..1..2..1..2..1....1..0..0..0..1..1....1..1..0..0..0..0
..1..0..2..0..2..0....0..0..1..0..2..1....0..0..1..1..2..2....2..2..1..1..1..1

Crossrefs

Sequence in context: A258542 A205041 A252614 * A190319 A296097 A076583

Adjacent sequences: A253527 A253528 A253529 * A253531 A253532 A253533

Keyword

nonn

Author

R. H. Hardin, Jan 03 2015

Status

approved