A254565 Number of (n+2)X(5+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

116056, 536906, 2647806, 4796417, 10679860, 25591173, 45085796, 101378800, 196258426, 401333712, 788651082, 1539724687, 2943252490, 5549226489, 10301160312, 18857921168, 34041174352, 60655369674, 106683727874

Offset

1,1

Comments

Column 5 of A254568

Links

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

R. H. Hardin, polynomial of degree 23 plus a quasipolynomial of degree 11 with period 6

Formula

Empirical: a(n) = 11*a(n-1) -54*a(n-2) +166*a(n-3) -407*a(n-4) +945*a(n-5) -2046*a(n-6) +3894*a(n-7) -6831*a(n-8) +11693*a(n-9) -18832*a(n-10) +27864*a(n-11) -39776*a(n-12) +55384*a(n-13) -71820*a(n-14) +87780*a(n-15) -105621*a(n-16) +120879*a(n-17) -127006*a(n-18) +128678*a(n-19) -126225*a(n-20) +109087*a(n-21) -81818*a(n-22) +55242*a(n-23) -21186*a(n-24) -21186*a(n-25) +55242*a(n-26) -81818*a(n-27) +109087*a(n-28) -126225*a(n-29) +128678*a(n-30) -127006*a(n-31) +120879*a(n-32) -105621*a(n-33) +87780*a(n-34) -71820*a(n-35) +55384*a(n-36) -39776*a(n-37) +27864*a(n-38) -18832*a(n-39) +11693*a(n-40) -6831*a(n-41) +3894*a(n-42) -2046*a(n-43) +945*a(n-44) -407*a(n-45) +166*a(n-46) -54*a(n-47) +11*a(n-48) -a(n-49) for n>63

polynomial of degree 23 plus a quasipolynomial of degree 11 with period 6 for n>14 (see link above)

Example

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

Crossrefs

Sequence in context: A346863 A255950 A273660 * A237479 A154065 A206471

Adjacent sequences: A254562 A254563 A254564 * A254566 A254567 A254568

Keyword

nonn

Author

R. H. Hardin, Feb 01 2015

Status

approved