A254564 Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically

37200, 183210, 978154, 2148260, 4796417, 12136355, 25618602, 56219231, 118029035, 245830679, 490847254, 974839744, 1887834479, 3581112558, 6699292579, 12319163671, 22287681131, 39795975182, 70067976674, 121758652567

Offset

1,1

Comments

Column 4 of A254568

Links

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

R. H. Hardin, polynomial of degree 22 plus a quasipolynomial of degree 12 with period 6

Formula

Empirical: a(n) = 9*a(n-1) -35*a(n-2) +88*a(n-3) -207*a(n-4) +497*a(n-5) -1011*a(n-6) +1782*a(n-7) -3201*a(n-8) +5555*a(n-9) -8415*a(n-10) +12310*a(n-11) -18434*a(n-12) +25038*a(n-13) -31174*a(n-14) +40170*a(n-15) -49491*a(n-16) +53547*a(n-17) -58201*a(n-18) +64350*a(n-19) -60203*a(n-20) +51337*a(n-21) -47619*a(n-22) +34892*a(n-23) -12870*a(n-24) +12870*a(n-26) -34892*a(n-27) +47619*a(n-28) -51337*a(n-29) +60203*a(n-30) -64350*a(n-31) +58201*a(n-32) -53547*a(n-33) +49491*a(n-34) -40170*a(n-35) +31174*a(n-36) -25038*a(n-37) +18434*a(n-38) -12310*a(n-39) +8415*a(n-40) -5555*a(n-41) +3201*a(n-42) -1782*a(n-43) +1011*a(n-44) -497*a(n-45) +207*a(n-46) -88*a(n-47) +35*a(n-48) -9*a(n-49) +a(n-50) for n>62

polynomial of degree 22 plus a quasipolynomial of degree 12 with period 6 for n>12 (see link above)

Example

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

Crossrefs

Sequence in context: A112728 A250882 A219363 * A151630 A252166 A151840

Adjacent sequences: A254561 A254562 A254563 * A254565 A254566 A254567

Keyword

nonn

Author

R. H. Hardin, Feb 01 2015

Status

approved