A253845 Number of (5+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

91296, 129378, 135280, 167413, 156876, 237202, 350208, 545216, 885886, 1475884, 2500372, 4285396, 7233084, 12201915, 20354602, 33446245, 54188520, 86580934, 136349532, 211795733, 324501926, 491052610, 734152658, 1085033465, 1586217372

Offset

1,1

Comments

Row 5 of A253841

Links

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

R. H. Hardin, polynomial of degree 15 plus a quasipolynomial of degree 5 with period 24

Formula

Empirical: a(n) = 10*a(n-1) -47*a(n-2) +140*a(n-3) -298*a(n-4) +472*a(n-5) -532*a(n-6) +304*a(n-7) +320*a(n-8) -1264*a(n-9) +2226*a(n-10) -2756*a(n-11) +2441*a(n-12) -1110*a(n-13) -1041*a(n-14) +3456*a(n-15) -5366*a(n-16) +6044*a(n-17) -5090*a(n-18) +2616*a(n-19) +768*a(n-20) -4152*a(n-21) +6620*a(n-22) -7520*a(n-23) +6620*a(n-24) -4152*a(n-25) +768*a(n-26) +2616*a(n-27) -5090*a(n-28) +6044*a(n-29) -5366*a(n-30) +3456*a(n-31) -1041*a(n-32) -1110*a(n-33) +2441*a(n-34) -2756*a(n-35) +2226*a(n-36) -1264*a(n-37) +320*a(n-38) +304*a(n-39) -532*a(n-40) +472*a(n-41) -298*a(n-42) +140*a(n-43) -47*a(n-44) +10*a(n-45) -a(n-46) for n>67

Example

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

Crossrefs

Sequence in context: A323753 A255985 A253838 * A253932 A205940 A204881

Adjacent sequences: A253842 A253843 A253844 * A253846 A253847 A253848

Keyword

nonn

Author

R. H. Hardin, Jan 16 2015

Status

approved