A253930 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally and vertically

8392, 30184, 124496, 451721, 992616, 2326216, 4928792, 8796936, 15429736, 25901691, 41279336, 64590680, 98433380, 147871688, 219336822, 319580553, 459762302, 656093206, 925811194, 1292791666, 1788288642, 2455569322

Offset

1,1

Comments

Column 3 of A253935

Links

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

R. H. Hardin, Empirical quasipolynomial

Formula

Empirical: a(n) = 5*a(n-1) -12*a(n-2) +20*a(n-3) -20*a(n-4) -4*a(n-5) +54*a(n-6) -118*a(n-7) +161*a(n-8) -125*a(n-9) -8*a(n-10) +216*a(n-11) -425*a(n-12) +509*a(n-13) -398*a(n-14) +78*a(n-15) +370*a(n-16) -770*a(n-17) +972*a(n-18) -852*a(n-19) +417*a(n-20) +195*a(n-21) -804*a(n-22) +1188*a(n-23) -1230*a(n-24) +918*a(n-25) -336*a(n-26) -336*a(n-27) +918*a(n-28) -1230*a(n-29) +1188*a(n-30) -804*a(n-31) +195*a(n-32) +417*a(n-33) -852*a(n-34) +972*a(n-35) -770*a(n-36) +370*a(n-37) +78*a(n-38) -398*a(n-39) +509*a(n-40) -425*a(n-41) +216*a(n-42) -8*a(n-43) -125*a(n-44) +161*a(n-45) -118*a(n-46) +54*a(n-47) -4*a(n-48) -20*a(n-49) +20*a(n-50) -12*a(n-51) +5*a(n-52) -a(n-53) for n>83

Empirical polynomial of degree 13 plus a quasipolynomial of degree 8 with period 24 for n>30 (see link above)

Example

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

Crossrefs

Sequence in context: A252087 A253836 A253843 * A295469 A232300 A214117

Adjacent sequences: A253927 A253928 A253929 * A253931 A253932 A253933

Keyword

nonn

Author

R. H. Hardin, Jan 19 2015

Status

approved