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A253933 Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally and vertically 1
263476, 756553, 2326216, 6795110, 6348659, 11962178, 17762028, 22189517, 34970988, 55170420, 84715864, 133392623, 208289228, 322672996, 500237454, 770901679, 1177667175, 1786589429, 2690333088, 4017704901, 5947381463 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 6 of A253935
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 19 2015
STATUS
approved

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Last modified June 13 02:52 EDT 2024. Contains 373366 sequences. (Running on oeis4.)