A254235 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically

512, 2616, 10684, 41140, 150016, 514920, 1700100, 5487356, 17402796, 54388900, 168051612, 514608380, 1564152640, 4724495088, 14194815516, 42456223192, 126490940620, 375582012308, 1111890899408, 3283117868720, 9671825746548

Offset

1,1

Comments

Column 1 of A254242

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -22*a(n-2) +21*a(n-3) +11*a(n-4) -62*a(n-5) +112*a(n-6) -36*a(n-7) -224*a(n-8) +374*a(n-9) -222*a(n-10) -293*a(n-11) +1161*a(n-12) -1391*a(n-13) +478*a(n-14) +769*a(n-15) -1984*a(n-16) +2012*a(n-17) -533*a(n-18) -789*a(n-19) +1431*a(n-20) -1120*a(n-21) +233*a(n-22) +300*a(n-23) -436*a(n-24) +229*a(n-25) -75*a(n-26) +35*a(n-27) +51*a(n-28) -55*a(n-29) +32*a(n-30) -7*a(n-31) -10*a(n-32) +5*a(n-33) -3*a(n-34) +a(n-36)

Example

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

Crossrefs

Sequence in context: A255029 A257426 A254242 * A254775 A254728 A254721

Adjacent sequences: A254232 A254233 A254234 * A254236 A254237 A254238

Keyword

nonn

Author

R. H. Hardin, Jan 27 2015

Status

approved