A253933 Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally and vertically

263476, 756553, 2326216, 6795110, 6348659, 11962178, 17762028, 22189517, 34970988, 55170420, 84715864, 133392623, 208289228, 322672996, 500237454, 770901679, 1177667175, 1786589429, 2690333088, 4017704901, 5947381463

Offset

1,1

Comments

Column 6 of A253935

Links

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

R. H. Hardin, Empirical quasipolynomial

Formula

Empirical: a(n) = 11*a(n-1) -57*a(n-2) +187*a(n-3) -438*a(n-4) +770*a(n-5) -1004*a(n-6) +836*a(n-7) +16*a(n-8) -1584*a(n-9) +3490*a(n-10) -4982*a(n-11) +5197*a(n-12) -3551*a(n-13) +69*a(n-14) +4497*a(n-15) -8822*a(n-16) +11410*a(n-17) -11134*a(n-18) +7706*a(n-19) -1848*a(n-20) -4920*a(n-21) +10772*a(n-22) -14140*a(n-23) +14140*a(n-24) -10772*a(n-25) +4920*a(n-26) +1848*a(n-27) -7706*a(n-28) +11134*a(n-29) -11410*a(n-30) +8822*a(n-31) -4497*a(n-32) -69*a(n-33) +3551*a(n-34) -5197*a(n-35) +4982*a(n-36) -3490*a(n-37) +1584*a(n-38) -16*a(n-39) -836*a(n-40) +1004*a(n-41) -770*a(n-42) +438*a(n-43) -187*a(n-44) +57*a(n-45) -11*a(n-46) +a(n-47) for n>77

Empirical polynomial of degree 17 plus a quasipolynomial of degree 7 with period 24 for n>33 (see link above)

Example

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

Crossrefs

Sequence in context: A340907 A253846 A253839 * A237778 A123138 A319902

Adjacent sequences: A253930 A253931 A253932 * A253934 A253935 A253936

Keyword

nonn

Author

R. H. Hardin, Jan 19 2015

Status

approved