A254301 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically

12616, 93326, 517934, 2530381, 13348182, 69860227, 375506912, 2051413540, 11310694254, 62889999700, 351655793662, 1970566420399, 11065476492562, 62188075983543, 349725627460782, 1967369841833464, 11069592090734828

Offset

1,1

Comments

Column 3 of A254306

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -17*a(n-2) -84*a(n-3) +260*a(n-4) -164*a(n-5) -564*a(n-6) +2856*a(n-7) +11170*a(n-8) -41228*a(n-9) -72878*a(n-10) +251424*a(n-11) -198452*a(n-12) -328104*a(n-13) +2628780*a(n-14) +4648696*a(n-15) -20786505*a(n-16) -29452526*a(n-17) +74588439*a(n-18) +73057204*a(n-19) -41058408*a(n-20) -209594372*a(n-21) -74206736*a(n-22) +213851488*a(n-23) -212060864*a(n-24) +1110211136*a(n-25) -353377472*a(n-26) -1735241984*a(n-27) +1881662208*a(n-28) -2041185792*a(n-29) +721603584*a(n-30) +3116957696*a(n-31) -3646394368*a(n-32) +2008072192*a(n-33) -474447872*a(n-34) -2278555648*a(n-35) +2827354112*a(n-36) -1106116608*a(n-37) +103284736*a(n-38) +605028352*a(n-39) -788529152*a(n-40) +268435456*a(n-41) for n>47

Example

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

Crossrefs

Sequence in context: A219332 A254262 A254255 * A237388 A185529 A078957

Adjacent sequences: A254298 A254299 A254300 * A254302 A254303 A254304

Keyword

nonn

Author

R. H. Hardin, Jan 27 2015

Status

approved