A253843 Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

8392, 19970, 52014, 135011, 294870, 654021, 1364704, 2573789, 4642528, 8066302, 13393584, 21654990, 34163708, 53042565, 81005602, 121630372, 179941032, 263356899, 380915814, 544500177, 769753376, 1079053789, 1499219612

Offset

1,1

Comments

Row 3 of A253841

Links

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

R. H. Hardin, polynomial of degree 13 plus a quasipolynomial of degree 8 with period 24

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

Example

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

Crossrefs

Sequence in context: A139005 A252087 A253836 * A253930 A295469 A232300

Adjacent sequences: A253840 A253841 A253842 * A253844 A253845 A253846

Keyword

nonn

Author

R. H. Hardin, Jan 16 2015

Status

approved